Relative volume comparison theorems in Finsler geometry and their applications
نویسنده
چکیده مقاله:
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.
منابع مشابه
relative volume comparison theorems in finsler geometry and their applications
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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عنوان ژورنال
دوره 40 شماره 1
صفحات 217- 234
تاریخ انتشار 2014-02-01
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