Holomorphic curvature of Finsler metrics and complex geodesics

DOI10.1007/BF02921655zbMath0896.32013arXivmath/9207201MaRDI QIDQ1387660

Giorgio Patrizio, Marco Abate

Publication date: 10 August 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9207201

zbMATH Keywords

holomorphic sectional curvatureKobayashi metriccomplex manifoldfoliation in complex geodesicssmooth complex Finsler metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Geodesics in global differential geometry (53C22) Other complex differential geometry (53C56) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (8)

A remark on general complex \((\boldsymbol{\alpha}, \boldsymbol{\beta})\) metrics ⋮ On complex Berwald metrics which are not conformal changes of complex Minkowski metrics ⋮ On a class of smooth complex Finsler metrics ⋮ Holomorphic sectional curvature of complex Finsler manifolds ⋮ Positivity of relative canonical bundles and applications ⋮ On product complex Finsler manifolds ⋮ Unnamed Item ⋮ On unitary invariant strongly pseudoconvex complex Finsler metrics

Cites Work

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• On the Hessian of the Caratheodory metric
• On a Class of Conformal Metrics
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Negative Vector Bundles and Complex Finsler Structures
• On the Holomorphic Curvature of Some Intrinsic Metrics
• Generalized Metrics on Complex Manifolds

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