Some connectedness problems in positively curved Finsler manifolds
نویسندگان
چکیده
منابع مشابه
Existence of closed geodesics on positively curved Finsler manifolds
For non-reversible Finsler metrics of positive flag curvature on spheres and projective spaces we present results about the number and the length of closed geodesics and about their stability properties. 2000 MSC classification: 53C22; 53C60; 58E10
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In this paper, we prove that for every Finsler n-sphere (S, F ) for n ≥ 3 with reversibility λ and flag curvature K satisfying ( λ λ+1 )2 < K ≤ 1, either there exist infinitely many prime closed geodesics or there exists one elliptic closed geodesic whose linearized Poincaré map has at least one eigenvalue which is of the form exp(πiμ) with an irrational μ. Furthermore, there always exist three...
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For non-reversible Finsler metrics of positive flag curvature on spheres and projective spaces we present results about the number and the length of closed geodesics and about their stability properties.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2009
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2008.09.004