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arXiv 2012-10-05 DOI 10.2206/kyushujm.68.347 0 views

Topology of complete Finsler manifolds with radial flag curvature bounded below

Kondo, Kei · Ohta, Shin-ichi · Tanaka, Minoru

Original · EN

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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