On the fundamental formulas of complex Finsler submanifolds

DOI10.1016/j.geomphys.2007.12.003zbMath1142.53057OpenAlexW2019405788MaRDI QIDQ2482656

Chun-Ping Zhong

Publication date: 23 April 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.12.003

zbMATH Keywords

complex Finsler manifoldcomplex submanifoldChern-Finsler connection

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Complex spaces (32C15)

Related Items

TOTALLY GEODESIC SUBMANIFOLDS OF GL-MANIFOLDS ⋮ A vanishing theorem on Kähler Finsler manifolds ⋮ Connections on the total space of a holomorphic Lie algebroid ⋮ Holomorphic curvature of complex Finsler submanifolds ⋮ Laplacians on the holomorphic tangent bundle of a Kähler manifold

Cites Work

• Finsler metrics - a global approach. With applications to geometric function theory
• A geometric characterization of Finsler manifolds of constant curvature \(K=1\)
• Complex spaces in Finsler, Lagrange and Hamilton geometries.
• Negative Vector Bundles and Complex Finsler Structures
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