relative volume comparison theorems in finsler geometry and their applications
نویسندگان
چکیده
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:
bulletin of the iranian mathematical societyجلد ۴۰، شماره ۱، صفحات ۲۱۷-۲۳۴
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