Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Relative volume comparison theorems in Finsler geometry and their applications

Document Type : Research Paper

Author
Department of Mathematics Minjiang University
Abstract
We establish some relative volume comparison theorems for extremal volume forms of‎ ‎Finsler manifolds under suitable curvature bounds‎. ‎As their applications‎, ‎we obtain some results on curvature and topology of Finsler manifolds‎. ‎Our results remove the usual assumption on S-curvature that is needed in the literature‎.
Keywords
Subjects

Volume 40, Issue 1 - Serial Number 1
February 2014
Pages 217-234

  • Receive Date 01 March 2012
  • Revise Date 03 January 2013
  • Accept Date 03 January 2013