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Preprint . 2009
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Nonlinear Analysis
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Existence of closed geodesics on Finsler -spheres

Existence of closed geodesics on Finsler \(n\)-spheres
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2012Embargo end date: 01 Sep 2009 English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 75, pages 751-757 (issn: 0362-546X, Copyright policy )
Authors: Wang, Wei;

doi: 10.1016/j.na.2011.09.008 , 10.48550/arxiv.0909.3566

arXiv: 0909.3566

Existence of closed geodesics on Finsler -spheres

Abstract

In this paper, we prove that on every Finsler $n$-sphere $(S^n, F)$ with reversibility $λ$ satisfying $F^2

12 pages

Related Organizations
Keywords

closed geodesics, Mathematics - Differential Geometry, Finsler spheres, Geodesics in global differential geometry, stability, Global differential geometry of Finsler spaces and generalizations (areal metrics), 53C22, 53C60, 58E10, reversibility, Differential Geometry (math.DG), FOS: Mathematics, equivariant Morse theory, Variational problems in applications to the theory of geodesics (problems in one independent variable)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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