Topology of complete Finsler manifolds with radial flag curvature bounded below

Kei Kondo; Shin Ichi Ohta; Minoru Tanaka

doi:10.2206/kyushujm.68.347

Topology of complete Finsler manifolds with radial flag curvature bounded below

Kei Kondo, Shin Ichi Ohta, Minoru Tanaka

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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. In this article, as its applications, we prove the finiteness of topological type and a diffeomorphism theorem to Euclidean spaces.

Original language	English
Pages (from-to)	347-357
Number of pages	11
Journal	Kyushu Journal of Mathematics
Volume	68
Issue number	2
DOIs	https://doi.org/10.2206/kyushujm.68.347
Publication status	Published - 2014
Externally published	Yes

Keywords

Finiteness theorem
Finsler geometry
Flag curvature
Toponogov’s comparison theorem

ASJC Scopus subject areas

Mathematics(all)

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10.2206/kyushujm.68.347

Cite this

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title = "Topology of complete Finsler manifolds with radial flag curvature bounded below",

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. In this article, as its applications, we prove the finiteness of topological type and a diffeomorphism theorem to Euclidean spaces.",

keywords = "Finiteness theorem, Finsler geometry, Flag curvature, Toponogov{\textquoteright}s comparison theorem",

author = "Kei Kondo and Ohta, {Shin Ichi} and Minoru Tanaka",

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AU - Ohta, Shin Ichi

AU - Tanaka, Minoru

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AB - 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. In this article, as its applications, we prove the finiteness of topological type and a diffeomorphism theorem to Euclidean spaces.

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KW - Finsler geometry

KW - Flag curvature

KW - Toponogov’s comparison theorem

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Topology of complete Finsler manifolds with radial flag curvature bounded below

Abstract

Keywords

ASJC Scopus subject areas

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