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1. RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS.

Author

B. Y. WU

Subjects
*FINSLER spaces, *DIFFERENTIAL geometry, *CURVATURE, *MANIFOLDS (Mathematics), *TOPOLOGICAL spaces, *MATHEMATICAL analysis
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. [ABSTRACT FROM AUTHOR]

Published
2014

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