# Items where Subject is "53 Differential geometry"

- MIMS Preprint Server Subjects (30)
- MSC 2010, the AMS's Mathematics Subject Classification (30)
**53 Differential geometry**(84)

- MSC 2010, the AMS's Mathematics Subject Classification (30)

**83**.

## A

Aghasi, M and Bahari, AR and Dodson, CTJ and Galanis, GN and Suri, A
(2008)
*Second order structures for sprays and connections on Fréchet manifolds.*
[MIMS Preprint]

Aghasi, M and Dodson, CTJ and Galanis, GN and Suri, A
(2005)
*Infinite dimensional second order differential equations via $T^2M$.*
[MIMS Preprint]

Aghasi, M and Dodson, CTJ and Galanis, GN and Suri, A
(2007)
*Infinite dimensional second order differential equations via $T^2M$.*
Nonlinear Analysis, 67.
pp. 2829-2838.
ISSN 0362-546X

Aghasi, M. and Dodson, C.T.J. and Galanis, G.N. and Suri, A.
(2008)
*Conjugate connections and differential equations on infinite dimensional manifolds.*
In: VIII International Colloquium on Differential Geometry, 7-11 July 2008, Santiago de Compostela, Spain.
(In Press)

Aghasi, M. and Dodson, C.T.J. and Galanis, G.N. and Suri, A.
(2006)
*Conjugate connections and differential equations on infinite dimensional manifolds.*
[MIMS Preprint]

Al-Zamil, Qusay and Montaldi, James
(2010)
*Witten-Hodge theory for manifolds with boundary.*
[MIMS Preprint]

Al-Zamil, Qusay and Montaldi, James
(2012)
*Witten-Hodge theory for manifolds with boundary and equivariant cohomology.*
Differential Geometry and its Applications, 30 (2).
pp. 179-194.
ISSN 0926-2245

Arathoon, Philip
(2015)
*Coadjoint orbits of the special Euclidean group.*
Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Arwini, Khadiga and Del Riego, L and Dodson, CTJ
(2007)
*Universal connection and curvature for statistical manifold geometry.*
Houston Journal of Mathematics, 33 (1).
pp. 145-162.
ISSN 0362-1588

Arwini, Khadiga and Dodson, CTJ
(2008)
*Information Geometry: Near Randomness and Near Independence.*
Lecture Notes in Mathematics, 1953
.
Springer-Verlag, Berlin, Heidelberg, Germany.
ISBN 978-3-540-69391-8
(In Press)

Arwini, Khadiga and Dodson, CTJ
(2005)
*Neighbourhoods of independence and associated geometry.*
[MIMS Preprint]

Arwini, Khadiga and Dodson, CTJ
(2007)
*Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussians and Freund distributions.*
Central European Journal of Mathematics, 51.
pp. 50-83.
ISSN 1644-3616

## B

Borsdorf, Rüdiger
(2012)
*An Algorithm For Finding the Optimal Embedding of a Symmetric Matrix into the Set of Diagonal Matrices.*
[MIMS Preprint]

Borsic, A. and Lionheart, W.R.B. and McLeod, C.N.
(2002)
*Generation of anisotropic-smoothness regularization filters for EIT.*
IEEE Transactions on Medical Imaging, 21 (6).
pp. 579-587.
ISSN 0278-0062

Braden, H. W. and Gorsky, A. and Odesskii, A. and Rubtsov, V.
(2002)
*Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras.*
Nuclear Physics B, 633 (3).
pp. 414-442.
ISSN 0550-3213

Breckon, William R.
(1992)
*The problem of Anisotropy in Electrical Impedance Tomography.*
roceedings of 14th International Conference of the IEEE Engineering in Medicine and Biology Society, Paris, (1992)., 5.
pp. 1734-1735.

Breckon, William R.
(1992)
*The problem of Anisotropy in Electrical Impedance Tomography.*
Proceedings of 14th International Conference of the IEEE Engineering in Medicine and Biology Society, Paris .
pp. 1734-1735.

Broomhead, D. S. and Jones, R. and King, Gregory P.
(1987)
*Topological dimension and local coordinates from time series data.*
Journal of Physics A, 20 (9).
L563-L569.
ISSN 0305-4470

Broomhead, D. S. and Kirby, M. J.
(2005)
*Dimensionality Reduction Using Secant-Based Projection Methods: The Induced Dynamics in Projected Systems.*
Nonlinear Dynamics, 41 (1-3).
pp. 47-67.
ISSN 1573-269X

Broomhead, D. S. and Kirby, M.J.
(2001)
*The Whitney Reduction Network: A Method for Computing Autoassociative Graphs.*
Neural Computation, 13.
pp. 2595-2616.
ISSN 0899-7667

Buchstaber, Victor and Leykin, Dmitry
(2006)
*The problem of differentiation of an Abelian function over its parameters.*
[MIMS Preprint]

Buchstaber, Victor and Leykin, Dmitry
(2006)
*The problem of differentiation of an Abelian function over its parameters.*
[MIMS Preprint]

## C

Crabb, Michael
(2014)
*EIT Reconstruction Algorithms for Respiratory Intensive Care.*
Doctoral thesis, The University of Manchester.

## D

Desai, Naeem M and Lionheart, William RB
(2015)
*An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data.*
[MIMS Preprint]

Dodson, CTJ
(2015)
*Information distance estimation between mixtures of multivariate Gaussians.*
In: ICMS Workshop on Computational information geometry for image and signal processing, 21-25 September 2015, Edinburgh.
(Unpublished)

Dodson, CTJ
(2018)
*Information distance estimation between mixtures of multivariate Gaussians.*
AIMS Mathematics, 3 (4).
pp. 439-447.
ISSN 2473-6988

Dodson, CTJ
*Information geometry for control of some stochastic processes.*
J. Math. Sciences.
(In Press)

Dodson, CTJ
(2017)
*On some information geometric approaches to cyber security.*
In:
Operations Research, Engineering, and Cyber Security.
Springer Optimization and Its Applications
(113).
Springer, Germany.
(In Press)

Dodson, CTJ
(2011)
*Some illustrations of information geometry in biology and physics.*
In:
Handbook of Research on Computational Science and Engineering: Theory and Practice.
IGI-Global, Hershey, USA, pp. 1-27.
ISBN 9781613501160
(In Press)

Dodson, CTJ
(2012)
*Some recent work in Frechet geometry.*
Balkan Journal of Geometry and Its Applications, 17 (2).
pp. 6-21.
ISSN 1843-2875

Dodson, CTJ
(2011)
*Some recent work in Frechet geometry.*
In: International Conference on Differential Geometry and Dynamical Systems, 6-9 October 2011, Bucharest, Romania.
(Unpublished)

Dodson, CTJ
(2005)
*Topics in Information Geometry.*
In: Workshop on Recent Results in Information Geometry, 13-19 Dec 2005, Santiago de Compostela, Spain.
(Unpublished)

Dodson, CTJ
(2015)
*A model for Gaussian perturbations of graphene.*
Journal of Statistical Physics, Online.
pp. 1-9.
ISSN 1572-9613

Dodson, CTJ
(2006)
*A short review on Landsberg spaces.*
In: Workshop on Finsler and semi-Riemannian geometry, 24-26 May 2006, San Luis Potosi, Mexico.
(Submitted)

Dodson, CTJ and Galanis, G and Vassiliou, E
(2015)
*Geometry in a Fréchet Context
A Projective Limit Approach.*
LMS Lecture Notes in Mathematics, 428
.
Cambridge University Press, Cambridge, UK.
ISBN 9781316601952
(In Press)

Dodson, CTJ and Galanis, GA
(2006)
*Acceleration bundles on Banach and Fréchet manifolds.*
In: JGP Editorial Board Scientific Meeting In Commemoration of Andre Lichnerowicz, 27- 29 June 2006, International School for Advanced Studies, Trieste, Italy.
(Unpublished)

Dodson, CTJ and Galanis, GN
(2005)
*Bundles of acceleration on Banach manifolds.*
Nonlinear Analysis, 63 (5-7).
pp. 465-471.
ISSN 0362-546X

Dodson, CTJ and Galanis, GN and Vassiliou, E
(2005)
*Isomorphism classes for Banach vector bundle structures of second
tangents.*
Math. Proc. Camb. Phil. Soc..
ISSN 0305-0041
(In Press)

Dodson, CTJ and Galanis, GN and Vassiliou, E
(2005)
*A generalized second order frame bundle for Fréchet manifolds.*
J. Geometry Physics, 55 (3).
pp. 291-305.
ISSN 0393-0440

Dodson, CTJ and Mettanen, M and Sampson, WW
(2017)
*Dimensionality Reduction for Information Geometric Characterization of Surface Topographies.*
In:
Computational Information Geometry: For Image And Signal Processing.
Signals and Communication Technology
.
Springer, Switzerland, pp. 133-147.
ISBN 978-3-319-47058-0

Dodson, CTJ and Sampson, WW
(2013)
*Dimensionality reduction for classification of stochastic fibre radiographs.*
In:
Geometric Science of Information GSI2013.
Lecture Notes in Computer Science, 8085
(8085).
Springer, Heidelberg, pp. 158-165.
ISBN ISBN 978-3-642-40020-9
(In Press)

Dodson, CTJ and Soldera, John and Scharcanski, J
(2021)
*Some Information Geometric Aspects of Cyber Security by Face Recognition.*
Entropy, 23 (878).
pp. 1-10.

## G

Gaburro, Romina and Lionheart, William R.B.
(2008)
*Recovering Riemannian metrics in
monotone families from boundary
data.*
[MIMS Preprint]

## H

Huke, J. P.
(2006)
*Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem.*
[MIMS Preprint]

Huke, J. P. and Broomhead, D. S.
(2006)
*Embedding Theorems for Non-uniformly Sampled Dynamical Systems.*
[MIMS Preprint]

## J

Joshi, Mark S and Lionheart, William RB
(2005)
*An inverse boundary value problem for harmonic differential forms.*
Asymptotic Analysis, 41 (2).
pp. 93-106.
ISSN 0921-7134

Joshi, Mark S and Lionheart, William RB
(2005)
*An inverse boundary value problem for harmonic differential forms.*
Asymptotic Analysis, 41 (2).
pp. 93-106.
ISSN 0921-7134

## K

Khudaverdian, Hovhannes M.
(2004)
*Semidensities on odd symplectic supermanifolds.*
Communications in Mathematical Physics, 247 (2).
pp. 353-390.
ISSN 1432-0916

Khudaverdian, Hovhannes M. and Voronov, Theodore
(2004)
*On odd Laplace Operators II.*
In:
Geometry, Topology and Mathematical Physics.
American Mathematical Society Translations—Series 2, 212
.
American Mathematical Society, pp. 179-205.
ISBN 0821836137

Khudaverdian, Hovhannes M. and Voronov, Theodore
(2002)
*On odd Laplace operators.*
Letters in Mathematical Physics, 62 (2).
pp. 127-142.
ISSN 1573-0530

## L

Lionheart, William R.B.
(1998)
*Boundary Shape and Electrical Impedance Tomography.*
Inverse Problems, 14 (1).
pp. 139-147.
ISSN 0266-5611

Lionheart, William R.B.
(2004)
*Geometric methods for anisotopic inverse boundary value problems.*
In:
New Analytic and Geometric Methods in Inverse Problems Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000.
Springer, Berlin, pp. 337-351.
ISBN 3540406824

Lionheart, William R.B.
(2018)
*Notes on Histotomography.*
[MIMS Preprint]

Lotz, Martin
(2012)
*On the volume of tubular neighborhoods of real algebraic varieties.*
[MIMS Preprint]

Lotz, Martin
(2012)
*On the volume of tubular neighbourhoods of real algebraic varieties.*
[MIMS Preprint]

## M

Mazzocco, Marta
(2004)
*Irregular isomonodromic for Garnier systems and Okamoto's canonical transformations.*
Journal of the London Mathematical Society, 70 (2).
pp. 405-419.
ISSN 0024-6107

Mazzocco, Marta
(2001)
*Picard and Chazy Solutions to the Painlevé VI Equation.*
Mathematische Annalen, 321 (1).
pp. 157-195.
ISSN 0025-5831

Mazzocco, Marta
(2001)
*Picard and Chazy solutions to the Painlevé VI equation.*
Mathematische Annalen, 321 (1).
pp. 131-169.
ISSN 1432-1807

Megyesi, Gabor
(2001)
*Lines tagent to four unit spheres with coplanar centres.*
Discrete and Computational Geometry, 26 (4).
pp. 493-497.
ISSN 1432-0444

Megyesi, Gàbor
(2002)
*Configurations of 2n - 2 quadrics in Rn with 3 2n - 1 common tangent lines.*
Discrete and Computational Geometry, 28 (3).
pp. 405-409.
ISSN 1432-0444

Megyesi, Gàbor and Sottile, Frank
(2005)
*The envelope of lines meeting a fixed line and tangent to two spheres.*
Discrete and Computational Geometry, 33 (4).
pp. 617-644.
ISSN 1432-0444

Megyesi, Gàbor and Sottile, Frank and Theobald, Thorsten
(2003)
*Common tranversals and tangents to two lines and two quadrics in P.*
Discrete and Computational Geometry, 30 (4).
pp. 543-571.
ISSN 1432-0444

Montaldi, J and Ortega, J-P and Ratiu, TS
(2004)
*The relation between local and global dual pairs.*
Math Research Letters, 11.
pp. 355-363.
ISSN 1073-2780

Montaldi, James
(2010)
*Momentum maps and ...*
In: UK-Japan Winter School on Integrable Systems and Symmetry, 07-10 Jan 2010, Manchester, UK.
(Unpublished)

Montaldi, James
(2007)
*A note on the geometry of linear Hamiltonian systems of signature 0 in R4.*
J. Differential Geometry and its Applications, 25.
pp. 344-350.
ISSN 1749-9097

Montaldi, James and Ortega, Juan-Pablo
(2008)
*Notes on lifting group actions.*
[MIMS Preprint]

Montaldi, James and Rodriguez-Olmos, Miguel
(2011)
*On the stability of Hamiltonian relative equilibria with non-trivial isotropy.*
Nonlinearity, 24 (2011).
pp. 2777-2783.
ISSN 1749-9097

Montaldi, James and Rodriguez-Olmos, Miguel
(2010)
*On the stability of Hamiltonian relative equilibria with non-trivial isotropy.*
[MIMS Preprint]

Montaldi, James and Shaddad, Amna
(2019)
*Generalized point vortex dynamics on CP^2.*
J. Geometric Mechanics.
(In Press)

Montaldi, James and Shaddad, Amna
(2019)
*Non-Abelian momentum polytopes for products of CP^2.*
J. Geometric Mechanics.
(In Press)

Montaldi, James and Tokieda, Tadashi
(2003)
*Openness of momentum maps and persistence of extremal relative equilibria.*
Topology, 42.
pp. 833-844.
ISSN 0040-9383

Muldoon, Mark R. and Broomhead, David S. and Huke, Jeremy P.
(1994)
*Delay reconstruction for multiprobe signals.*
In:
IEE Colloquium on Exploiting Chaos in Signal Processing.
IEE, London, 3/1-3/6.

## N

Nevins, T.A. and Stafford, J.T.
(2006)
*Sklyanin algebras and Hilbert schemes of points.*
Advances in Mathematics, 210 (2).
pp. 405-478.
ISSN 0001-8708

## O

Odesskii, A. V.
(2002)
*Elliptic algebras.*
Russian Mathematical Surveys, 57 (6).
pp. 1127-1162.
ISSN 1468-4829

## P

Polydorides, N. and Lionheart, W.R.B. and McCann, H.
(2002)
*Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography.*
IEEE Transactions on Medical Imaging, 21 (6).
pp. 596-603.
ISSN 0278-0062

## S

Shaddad, Amna
(2018)
*The classification and dynamics of the momentum polytopes of the SU(3) action on points in the complex projective plane with an application to point vortices.*
Doctoral thesis, University of Manchester.

Sharp, Richard
(2004)
*A local limit theorem for closed geodesics and homology.*
Transactions of the American Mathematical Society, 356 (12).
pp. 4897-4908.
ISSN 0002-9947

Soldera, J and Dodson, CTJ and Scharcanski, J
(2018)
*Face Recognition Based on Texture Discrimination by Using Geodesic Distance Approximations Between Multivariate Normal Distributions.*
IEEE Xplore.

Soldera, J and Dodson, CTJ and Scharkanski, J
(2018)
*Face recognition based on texture information and geodesic distance approximations between multivariate normal distributions.*
Measurement Science and Technology, 29 (11).
pp. 1-9.
ISSN ISSN: 1361-6501

Stark, J. and Broomhead, D. S. and Davies, M. E. and Huke, J.
(2003)
*Delay Embeddings for Forced Systems. II.
Stochastic Forcing.*
Journal of Nonlinear Science, 13 (6).
pp. 519-577.
ISSN 1432-1467

Szotten, David and Lionheart, William RB and Tomlinson, Rachel A
(2006)
*Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.*
[MIMS Preprint]

Szotten, David and Lionheart, William RB and Tomlinson, Rachel A
(2006)
*Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.*
[MIMS Preprint]

## Z

Ziyalder, Y. and Onart, Serkan and Lionheart, W. R. B.
(2003)
*Uniqueness and reconstruction in magnetic resonance - electrical impedance tomography (MR - EIT).*
Physiological Measurement, 24 (2).
pp. 591-604.
ISSN 0967-3334