On a conjecture of Anosov

Details On a conjecture of Anosov On a conjecture of Anosov

2011-12-22

arxiv.org/abs/1112.5234v2

Mathematics

Differential Geometry

20 pages

Scientific paper

In this paper, we prove that for every bumpy Finsler $n$-sphere $(S^n,\,F)$
with reversibility $\lambda$ and flag curvature $K$ satisfying
$(\frac{\lambda}{\lambda+1})^2closed geodesics. This gives a confirmed answer to a conjecture of D. V. Anosov
\cite{Ano} in 1974 for a generic case.

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