On the holomorphic sectional and bisectional curvatures in complex Finsler geometry

DOI10.1023/B:MAHU.0000038969.91179.e4zbMath1061.32013OpenAlexW2086621000MaRDI QIDQ705797

Pit-Mann Wong, Karen A. Chandler

Publication date: 14 February 2005

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:mahu.0000038969.91179.e4

zbMATH Keywords

Kobayashi metricsingular metricbissectional curvaturesholomorphic sectionaljet metric

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Compact Kähler manifolds: generalizations, classification (32J27) Positive curvature complex manifolds (32Q10)

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Restricted Carathéodory measure and restricted volume of the canonical bundle ⋮ Hodge and vanishing theorems on complex Finsler vector bundles ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ The equations of a holomorphic subspace in a complex Finsler space