Bochner-Kodaira techniques on Kähler Finsler manifolds

DOI10.1007/s11401-014-0871-7zbMath1309.32005OpenAlexW2027333445MaRDI QIDQ2261966

Chunhui Qiu, Tongde Zhong, Jinxiu Xiao

Publication date: 13 March 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0871-7

zbMATH Keywords

Kähler-Finsler manifoldhorizontal Hodge-Laplacian operator

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

Hodge and vanishing theorems on complex Finsler vector bundles ⋮ A Laplace operator on complex Finsler manifolds ⋮ Laplacian on complex Finsler manifolds

Cites Work

• Bochner technique on strong Kähler-Finsler manifolds
• Hodge decomposition theorem on strongly Kähler Finsler manifolds
• Laplacians on the holomorphic tangent bundle of a Kähler manifold
• Kähler Finsler metrics are actually strongly Kähler
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Finsler metrics - a global approach. With applications to geometric function theory
• Horizontal \(\overline\partial\)-Laplacian on complex Finsler manifolds
• Curvature and Betti numbers
• Curvature in Hermitian metric
• On a Differential-Geometric Method in the Theory of Analytic Stacks
• Vector fields and Ricci curvature
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