%0 Journal Article
%T Relative volume comparison theorems in Finsler geometry and their applications
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Wu, Bing Ye
%D 2014
%\ 02/01/2014
%V 40
%N 1
%P 217-234
%! Relative volume comparison theorems in Finsler geometry and their applications
%K extreme volume form
%K Finsler manifold
%K Gromov pre-compactness
%K first Betti number
%K fundamental group
%R
%X 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.
%U http://bims.iranjournals.ir/article_491_a6a751d01b68cc3adc7d1c13f8010dc7.pdf