ON COMPLEX RANDERS METRICS

DOI10.1142/S0129167X10006367zbMath1200.53020MaRDI QIDQ4931735

Bin Chen, Yi-Bing Shen

Publication date: 30 September 2010

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

zbMATH Keywords

holomorphic curvatureBerwald metriccomplex Randers metric

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)

Related Items (12)

A Gauss-Bonnet-Chern theorem for complex Finsler manifolds ⋮ A remark on general complex \((\boldsymbol{\alpha}, \boldsymbol{\beta})\) metrics ⋮ Some results on strong Randers metrics ⋮ Generalized Zermelo navigation on Hermitian manifolds under mild wind ⋮ On a class of smooth complex Finsler metrics ⋮ Projectively related complex Finsler metrics ⋮ Characterizations of complex Finsler metrics ⋮ On complex Landsberg and Berwald spaces ⋮ On weighted complex Randers metrics ⋮ Comparison theorems and their applications on Kähler Finsler manifolds ⋮ Generalized Zermelo navigation on Hermitian manifolds with a critical wind ⋮ Unnamed Item

Cites Work

• Projective complex Finsler metrics
• Kähler Finsler metrics are actually strongly Kähler
• Finsler metrics - a global approach. With applications to geometric function theory
• Zermelo navigation on Riemannian manifolds
• Complex manifolds modeled on a complex Minkowski space
• Invariant distances on complex manifolds and holomorphic mappings
• Canonical metrics on the moduli space of Riemann surfaces. I
• On Kählerian manifolds with positive holomorphic sectional curvature
• ON COMPLEX FINSLER SPACES WITH RANDERS METRIC
• Generalized Metrics on Complex Manifolds

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