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

نویسندگان

چکیده

Let M be a compact simply connected manifold satisfying H⁎(M;Q)≅Td,n+1(x) for integers d≥2 and n≥1. If all prime closed geodesics on (M,F) with an irreversible bumpy Finsler metric F are elliptic, then either there exist exactly dn(n+1)2 (when is even) or (d+1) d≥3 odd) distinct geodesics, infinitely many geodesics.

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2023

ISSN: ['0022-1236', '1096-0783']

DOI: https://doi.org/10.1016/j.jfa.2023.109861