The Hermitian Connection and the Jacobi Fields of a Complex Finsler Manifold

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dc.creatorSpiro, A.
dc.date2000-09-07
dc.date.accessioned2026-07-07T04:37:15Z
dc.date.available2026-07-07T04:37:15Z
dc.descriptionIt is proved that all invariant functions of a complex Finsler manifold can be totally recovered from the torsion and curvature of the connection introduced by Kobayashi for holomorphic vector bundles with complex Finsler structures. Equations of the geodesics and Jacobi fields of a generic complex Finsler manifold, expressed by means Kobayashi's connection, are also derived.
dc.identifierhttps://arxiv.org/abs/math/0009067
dc.identifierhttp://arxiv.org/abs/math/0009067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59883
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject53B40;32H15
dc.titleThe Hermitian Connection and the Jacobi Fields of a Complex Finsler Manifold
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