A short review on Landsberg spaces

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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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: http://eprints.maths.manchester.ac.uk/id/eprint/246

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