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