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http://dx.doi.org/10.4134/JKMS.j180206

COMPARISON THEOREMS IN RIEMANN-FINSLER GEOMETRY WITH LINE RADIAL INTEGRAL CURVATURE BOUNDS AND RELATED RESULTS  

Wu, Bing-Ye (Institution of Mathematics Minjiang University)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.2, 2019 , pp. 421-437 More about this Journal
Abstract
We establish some Hessian comparison theorems and volume comparison theorems for Riemann-Finsler manifolds under various line radial integral curvature bounds. As their applications, we obtain some results on first eigenvalue, Gromov pre-compactness and generalized Myers theorem for Riemann-Finsler manifolds under suitable line radial integral curvature bounds. Our results are new even in the Riemannian case.
Keywords
extreme volume form; Finsler manifold; Gromov pre-compactness; first eigenvalue; diameter;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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