RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS

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WU B.Y.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2014 | Volume:40 | Issue:1 Page(s): 217-234

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Title

RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS

Author(s)

WU B.Y. | Issue Writer Certificate

Keywords

EXTREME VOLUME FORM

FINSLER MANIFOLD

GROMOV PRE-COMPACTNESS

FIRST BETTI NUMBER

FUNDAMENTAL GROUP

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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APA: Copy

WU, B.Y.. (2014). RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(1), 217-234. SID. https://sid.ir/paper/618013/en

Vancouver: Copy

WU B.Y.. RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(1):217-234. Available from: https://sid.ir/paper/618013/en

IEEE: Copy

B.Y. WU, “RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 1, pp. 217–234, 2014, [Online]. Available: https://sid.ir/paper/618013/en

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