Laplacians on the holomorphic tangent bundle of a Kähler manifold

DOI10.1007/s11425-009-0174-8zbMath1206.32012OpenAlexW2083048941MaRDI QIDQ983641

Chun-Ping Zhong

Publication date: 24 July 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0174-8

zbMATH Keywords

Kähler manifoldvanishing theoremcomplex horizontal Laplacian

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Vanishing theorems (32L20)

Related Items

Bochner-Kodaira techniques on Kähler Finsler manifolds ⋮ Laplacian on complex Finsler manifolds

Cites Work

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• On the differential geometry of tangent bundles of Riemannian manifolds
• A vanishing theorem on Kähler Finsler manifolds
• Finsler metrics - a global approach. With applications to geometric function theory
• Complex spaces in Finsler, Lagrange and Hamilton geometries.
• On the fundamental formulas of complex Finsler submanifolds
• Negative Vector Bundles and Complex Finsler Structures
• Tensorfields and Ricci Curvature in Hermitian Metric
• Vector fields and Ricci curvature

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