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arXiv · 1210.1774

Topology of complete Finsler manifolds with radial flag curvature bounded below

Kei Kondo·Shin-ichi Ohta·Minoru Tanaka
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Abstract

We recently established a Toponogov type triangle comparison theorem for a certain class of Finsler manifolds whose radial flag curvatures are bounded below by that of a von Mangoldt surface of revolution (arXiv:1205.3913). In this article, as its applications, we prove the finiteness of topological type and a diffeomorphism theorem to Euclidean spaces.

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Kei Kondo, Shin-ichi Ohta, Minoru Tanaka. 2013-09-16. Topology of complete Finsler manifolds with radial flag curvature bounded below. https://doi.org/10.2206/kyushujm.68.347

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