Relative volume comparison theorems in Finsler geometry and their applications
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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.
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Journal title
volume 40 issue 1
pages 217- 234
publication date 2014-02-01
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