The non-contractibility of closed geodesics on Finsler \(\mathbb{R} P^n\)

DOI10.1007/s10114-021-0023-4zbMath1493.53060OpenAlexW3159073346MaRDI QIDQ2075424

Hui Liu, Hua Gui Duan

Publication date: 14 February 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-0023-4

zbMATH Keywords

closed geodesicsreal projective spaceKatok Finsler manifoldsnon-contractible

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

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