Bochner technique on strong Kähler-Finsler manifolds

DOI10.1016/S0252-9602(10)60025-2zbMath1224.32021OpenAlexW1963965135MaRDI QIDQ622539

Jinxiu Xiao, Tongde Zhong, Chunhui Qiu

Publication date: 5 February 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60025-2

zbMATH Keywords

Weitzenböck formulaBochner techniquehorizontal Hodge-Laplace operatorstrong Kähler-Finsler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (11)

Some results on strong Randers metrics ⋮ Hodge and vanishing theorems on complex Finsler vector bundles ⋮ A Laplace operator on complex Finsler manifolds ⋮ Characterizations of complex Finsler metrics ⋮ Laplacians for the holomorphic tangent bundles with g-nature metrics on complex Finsler manifolds ⋮ Hodge theorem for the natural projection of complex horizontal Laplacian on complex Finsler manifolds ⋮ Comparison theorems and their applications on Kähler Finsler manifolds ⋮ Vanishing theorems on holomorphic Lie algebroids ⋮ Bochner-Kodaira techniques on Kähler Finsler manifolds ⋮ Laplacian on complex Finsler manifolds ⋮ LAPLACIAN COMPARISON ON COMPLEX FINSLER MANIFOLDS AND ITS APPLICATIONS

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