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.
Wu, B. Y. (2014). Relative volume comparison theorems in Finsler geometry and their applications. Bulletin of the Iranian Mathematical Society, 40(1), 217-234.
MLA
Bing Ye Wu. "Relative volume comparison theorems in Finsler geometry and their applications". Bulletin of the Iranian Mathematical Society, 40, 1, 2014, 217-234.
HARVARD
Wu, B. Y. (2014). 'Relative volume comparison theorems in Finsler geometry and their applications', Bulletin of the Iranian Mathematical Society, 40(1), pp. 217-234.
VANCOUVER
Wu, B. Y. Relative volume comparison theorems in Finsler geometry and their applications. Bulletin of the Iranian Mathematical Society, 2014; 40(1): 217-234.