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Nicoleta Aldea: On the holomorphic flag curvature of complex Finsler spaces, p.209-221

Abstract:

This paper is about the holomorphic flag curvature of complex Finsler metrics. For a complex Finsler space $(M,F)$, the holomorphic flag curvature with respect to the Chern complex linear connection on the pull-back tangent bundle is defined. By means of holomorphic curvature, a special approach is devoted to obtain characterization of the holomorphic flag curvature$.$ Finally we deal with holomorphic flag curvature of the generalized Einstein complex Finsler spaces.

Key Words: Complex Finsler spaces, holomorphic flag curvature.

2000 Mathematics Subject Classification: Primary: 53B40,
Secondary 53C60.

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