Laplacian on complex Finsler manifolds

DOI10.1007/s11401-011-0661-4zbMath1296.32009OpenAlexW2141839954MaRDI QIDQ741432

Jinxiu Xiao, Chunhui Qiu, Tongde Zhong

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1007/s11401-011-0661-4

zbMATH Keywords

LaplacianChern-Finsler connectionstrongly pseudoconvex complex Finsler metric

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Complex manifolds (32Q99)

Related Items (5)

A Laplace operator on complex Finsler manifolds ⋮ 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 ⋮ LAPLACIAN COMPARISON ON COMPLEX FINSLER MANIFOLDS AND ITS APPLICATIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bochner technique on strong Kähler-Finsler manifolds
• A vanishing theorem on Kähler Finsler manifolds
• Hodge decomposition theorem on strongly Kähler Finsler manifolds
• Laplacians on the holomorphic tangent bundle of a Kähler manifold
• 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
• Complex spaces in Finsler, Lagrange and Hamilton geometries.
• Bochner-Kodaira techniques on Kähler Finsler manifolds
• Horizontal \(\overline\partial\)-Laplacian on complex Finsler manifolds
• Curvature and Betti numbers
• Randers surfaces whose Laplacians have completely positive symbol
• Curvature in Hermitian metric
• On a Differential-Geometric Method in the Theory of Analytic Stacks
• Vector fields and Ricci curvature

This page was built for publication: Laplacian on complex Finsler manifolds