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)
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Abstract
This short review is concerned with real finite-dimensional Finsler manifolds (M,F) with Finsler structures F:TM-->[0,infty) that satisfy the Landsberg conditions. In particular this includes the case of Berwald manifolds since their Chern connections on the pullback of TM are fibre-independent. The aim is to provide an annotated collection of references to geometric results that seem important in the study of Landsberg spaces and to suggest some areas for further work in this context.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Finsler manifold, Cartan tensor, Ehresmann connection, Chern connection, curvature, exponential map, Landsberg space, Berwald space, Randers space, conformal equivalence, Killing field, parallel isometry. completeness |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry MSC 2010, the AMS's Mathematics Subject Classification > 58 Global analysis, analysis on manifolds |
| Depositing User: | Prof CTJ Dodson |
| Date Deposited: | 14 May 2006 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/246 |
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