Mathematics – Differential Geometry
Scientific paper
2000-09-07
Mathematics
Differential Geometry
Scientific paper
It 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.
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