Kähler Finsler metrics and conformal deformations

DOI10.1007/s11856-022-2304-8zbMath1498.53029arXiv1901.10783OpenAlexW2998442514WikidataQ125575688 ScholiaQ125575688MaRDI QIDQ2142713

Lili Zhao, Bin Chen, Yi-Bing Shen

Publication date: 27 May 2022

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

Full work available at URL: https://arxiv.org/abs/1901.10783

zbMATH Keywords

stabilityRicci curvaturespectral propertiesFinsler metricholomorphic curvatureconformal deformationYamabe-type problems

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Deformations of special (e.g., CR) structures (32G07)

Related Items

On conformal complex Finsler metrics ⋮ Characterizations of complex Finsler metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hodge decomposition theorem on strongly Kähler Finsler manifolds
• Harmonic maps from complex Finsler manifolds
• Kähler Finsler metrics are actually strongly Kähler
• Finsler metrics - a global approach. With applications to geometric function theory
• A Donaldson type functional on a holomorphic Finsler vector bundle
• Comparison theorems and their applications on Kähler Finsler manifolds
• Comparison and Wu's theorems in Finsler geometry
• On the volume of the projectivized tangent bundle in a complex Finsler manifold
• The Yamabe problem
• On Locally and Globally Conformal Kahler Manifolds
• Negative Vector Bundles and Complex Finsler Structures
• On a Yamabe Type Problem in Finsler Geometry
• A Kind of Even-Dimensional Differential Geometry and Its Application to Exterior Calculus