Comparison Theorems in Finsler Geometry with Integral Weighted Ricci Curvature Bounds and Their Applications

We establish the Laplacian comparison theorems and volume comparison theorems for Finsler manifolds under integral weighted Ricci curvature bounds. As their applications, we obtain some results on integral weighted Ricci curvature and topology for Finsler manifolds. We also obtain some results on th...

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Bibliographic Details
Published in:Bulletin of the Iranian Mathematical Society 2021-04, Vol.47 (2), p.379-401
Main Author: Wu, Bing-Ye
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Original Paper
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Summary:We establish the Laplacian comparison theorems and volume comparison theorems for Finsler manifolds under integral weighted Ricci curvature bounds. As their applications, we obtain some results on integral weighted Ricci curvature and topology for Finsler manifolds. We also obtain some results on the upper bound of first eigenvalue for Finsler manifolds under integral weighted Ricci curvature bounds.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00389-3