ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS

WU Bao-qiang

doi:10.1142/s0129167x1250111x

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ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS

WU Bao-qiang

Year: 2012 Journal: International Journal of Mathematics Vol: 23 (11)Pages: 1250111-1250111 Publisher: World Scientific

DOI: 10.1142/s0129167x1250111x

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Abstract

We establish a relative volume comparison theorem for minimal volume form of Finsler manifolds under integral Ricci curvature bound. As its applications, we obtain some results on integral Ricci curvature and topology of Finsler manifolds. These results generalize the corresponding properties with pointwise Ricci curvature bound in the literatures.

Keywords:

Mathematics Ricci curvature Curvature of Riemannian manifolds Pointwise Ricci-flat manifold Curvature Ricci flow Scalar curvature Pure mathematics Riemann curvature tensor Mathematical analysis Ricci decomposition Topology (electrical circuits) Sectional curvature Finsler manifold Geometry Combinatorics

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Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS

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