Finsler geometry of projectivized vector bundles

DOI10.1215/kjm/1250283732zbMath1086.53092OpenAlexW1585893049MaRDI QIDQ1890283

Yanyan Li

Publication date: 29 December 2004

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250283732

zbMATH Keywords

Finsler geometryprojectivized vector bundleamplenesscomplex Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (17)

Vertical Chern Type Classes on Complex Finsler Bundles ⋮ POSITIVELY CURVED FINSLER METRICS ON VECTOR BUNDLES ⋮ A vanishing theorem on Kähler Finsler manifolds ⋮ Some results on strong Randers metrics ⋮ About a special class of two-dimensional complex Finsler spaces ⋮ Restricted Carathéodory measure and restricted volume of the canonical bundle ⋮ Hodge and vanishing theorems on complex Finsler vector bundles ⋮ Kähler metrics on the projective bundle of a holomorphic Finsler vector bundle ⋮ A Donaldson type functional on a holomorphic Finsler vector bundle ⋮ Positively curved Finsler metrics on vector bundles. II ⋮ On weighted complex Randers metrics ⋮ Holomorphic sectional curvature of complex Finsler manifolds ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ On vector bundles of finite order ⋮ A defect relation for meromorphic maps on generalized p-parabolic manifolds intersecting hypersurfaces in complex projective algebraic varieties ⋮ Chern forms of holomorphic Finsler vector bundles and some applications ⋮ Holomorphic Vanishing Theorems on Finsler Holomorphic Vector Bundles and Complex Finsler Manifolds

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