On unitary invariant weakly complex Berwald metrics with vanishing holomorphic curvature and closed geodesics

DOI10.1007/s11401-016-1007-zzbMath1336.53088OpenAlexW2413739802MaRDI QIDQ266173

Hongchuan Xia, Chun-Ping Zhong

Publication date: 13 April 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1007-z

zbMATH Keywords

closed geodesicscomplex Finsler metricsweakly complex Berwald metrics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

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Cites Work

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• On real and complex Berwald connections associated to strongly convex weakly Kähler-Finsler metric
• Kähler Finsler metrics are actually strongly Kähler
• Finsler metrics with properties of the Kobayashi metric on convex domains
• Finsler metrics - a global approach. With applications to geometric function theory
• Complex spaces in Finsler, Lagrange and Hamilton geometries.
• Characterizations of complex Finsler connections and weakly complex Berwald metrics
• Matrix Analysis
• La métrique de Kobayashi et la représentation des domaines sur la boule

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