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VOL. 43 | 2006 On degree of mobility for complete metrics
Vladimir S. Matveev

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano

Abstract

The degree of mobility of a Riemannian metric $g$ is the dimension of the space of Riemannian metrics sharing the same geodesics with $g$. We prove that the degree of mobility of an irreducible Riemannian metric on a closed manifold is at most two, unless the sectional curvature is positive constant.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1131.53013
MathSciNet: MR2325140

Digital Object Identifier: 10.2969/aspm/04310221

Rights: Copyright © 2006 Mathematical Society of Japan

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