A classification of unitary invariant weakly complex Berwald metrics of constant holomorphic curvature

DOI10.1016/j.difgeo.2015.08.001zbMath1328.53031OpenAlexW1422726267WikidataQ115355873 ScholiaQ115355873MaRDI QIDQ891581

Hongchuan Xia, Chun-Ping Zhong

Publication date: 17 November 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2015.08.001

zbMATH Keywords

constant holomorphic curvatureunitary invariantweakly complex Berwald metricweakly Kähler Finsler 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

On strongly convex weakly Kähler-Finsler metrics of constant flag curvature ⋮ A remark on general complex \((\boldsymbol{\alpha}, \boldsymbol{\beta})\) metrics ⋮ On a class of smooth complex Finsler metrics ⋮ On \(\mathrm{U}(n)\)-invariant strongly convex complex Finsler metrics ⋮ Erratum to: ``On a class of smooth complex Finsler metrics ⋮ On strongly convex projectively flat and dually flat complex Finsler metrics ⋮ On product complex Finsler manifolds ⋮ De Rham decomposition theorem for strongly convex Kähler-Berwald manifolds

Cites Work

• Unnamed Item
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• On real and complex Berwald connections associated to strongly convex weakly Kähler-Finsler metric
• Finsler metrics - a global approach. With applications to geometric function theory
• Complex spaces in Finsler, Lagrange and Hamilton geometries.
• On unitary invariant strongly pseudoconvex complex Finsler metrics
• Characterizations of complex Finsler connections and weakly complex Berwald metrics
• La métrique de Kobayashi et la représentation des domaines sur la boule

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