LAPLACIAN COMPARISON ON COMPLEX FINSLER MANIFOLDS AND ITS APPLICATIONS

DOI10.1142/S0129167X13500341zbMath1280.53067OpenAlexW2017117328MaRDI QIDQ2854044

Chunhui Qiu, Jinxiu Xiao, Qun He, Zhi Hua Chen

Publication date: 17 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500341

zbMATH Keywords

maximum principleLaplaciandistance functionLevi formholomorphic variation formula

Mathematics Subject Classification ID

Other complex differential geometry (53C56) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Complex manifolds (32Q99)

Cites Work

• Bochner technique on strong Kähler-Finsler manifolds
• Laplacian on complex Finsler manifolds
• A vanishing theorem on Kähler Finsler manifolds
• Comparison theorems in Finsler geometry and their applications
• A general Schwarz lemma for almost-Hermitian manifolds
• Kähler Finsler metrics are actually strongly Kähler
• Finsler metrics - a global approach. With applications to geometric function theory
• Volume comparison and its applications in Riemann-Finsler geometry
• A General Schwarz Lemma for Kahler Manifolds
• Harmonic functions on complete riemannian manifolds

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