Open Access
VOL. 48 | 2007 A connectedness principle in positively curved Finsler manifolds
Ioan Radu Peter

Editor(s) Sorin V. Sabau, Hideo Shimada

Adv. Stud. Pure Math., 2007: 111-124 (2007) DOI: 10.2969/aspm/04810111

Abstract

We study a connectedness principle in positively curved Finsler manifolds. Some results from positively curved Riemannian manifolds are generalized to Finsler spaces, and we also emphasize differences between the Riemann and Finsler settings.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1144.53092
MathSciNet: MR2389253

Digital Object Identifier: 10.2969/aspm/04810111

Subjects:
Primary: 53C60

Keywords: Berwald-Finsler metrics , connectedness , Finsler manifolds , Morse theory , second variation of energy

Rights: Copyright © 2007 Mathematical Society of Japan

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