Frankel's refinement of Bochner's theorem on forward complete Finsler manifolds

DOI10.1016/J.DIFGEO.2017.01.003zbMath1423.53021OpenAlexW2583691511WikidataQ115355555 ScholiaQ115355555MaRDI QIDQ2325729

Bin Shen

Publication date: 27 September 2019

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2017.01.003

zbMATH Keywords

Ricci curvatureBochner formulaFinsler metricFrankel's refinement theorem

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (3)

Strongly and weakly affine vector fields on Finsler manifolds ⋮ Generalizations of Bonnet-Myers theorem on Finsler manifolds ⋮ Holomorphic Vanishing Theorems on Finsler Holomorphic Vector Bundles and Complex Finsler Manifolds

Cites Work

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• Vanishing of Killing vector fields on compact Finsler manifolds
• Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators
• Transformation groups in differential geometry.
• Finsler conformal Lichnerowicz-Obata conjecture
• A Remark on the Bochner Technique in Differential Geometry

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