A vanishing theorem on Kähler Finsler manifolds

DOI10.1016/j.difgeo.2009.01.013zbMath1198.32009OpenAlexW2095226123WikidataQ115357312 ScholiaQ115357312MaRDI QIDQ838022

Chun-Ping Zhong

Publication date: 21 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.01.013

zbMATH Keywords

vanishing theoremcomplex horizontal LaplacianKähler Finsler manifold

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Vanishing theorems (32L20)

Related Items

Some results on strong Randers metrics ⋮ Hodge and vanishing theorems on complex Finsler vector bundles ⋮ On a class of smooth complex Finsler metrics ⋮ The d-boundedness of the Bergman metric on a kind of Hartogs domain ⋮ Characterizations of complex Finsler metrics ⋮ A vanishing theorem on a class of Hartogs domain ⋮ 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 ⋮ On real and complex Berwald connections associated to strongly convex weakly Kähler-Finsler metric ⋮ Laplacians on the holomorphic tangent bundle of a Kähler manifold ⋮ Laplacian on complex Finsler manifolds ⋮ LAPLACIAN COMPARISON ON COMPLEX FINSLER MANIFOLDS AND ITS APPLICATIONS ⋮ HORIZONTAL LAPLACIAN ON TANGENT BUNDLE OF FINSLER MANIFOLD WITH g-NATURAL METRIC

Cites Work

• Hodge decomposition theorem on strongly Kähler Finsler manifolds
• Vanishing theorems on complex manifolds
• A partial connection on complex Finsler bundles and its applications
• Finsler metrics - a global approach. With applications to geometric function theory
• Complex spaces in Finsler, Lagrange and Hamilton geometries.
• Finsler geometry of projectivized vector bundles
• Horizontal \(\overline\partial\)-Laplacian on complex Finsler manifolds
• On the fundamental formulas of complex Finsler submanifolds
• Negative Vector Bundles and Complex Finsler Structures
• Tensorfields and Ricci Curvature in Hermitian Metric
• Curvature and Betti Numbers. (AM-32)
• Vector fields and Ricci curvature
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