The equations of a holomorphic subspace in a complex Finsler space |
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Authors: | Gheorghe Munteanu |
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Institution: | (1) Faculty of Mathematics and Informatics, Transilvania University of Braşov, Braşov, Romania |
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Abstract: | In Mu1] we underlined the motifs of holomorphic subspaces in a complex Finsler space: induced nonlinear connection, coupling
connections, and the induced tangent and normal connections. In the present paper we investigate the equations of Gauss, H-and A-Codazzi, and Ricci equations of a holomorphic subspace. We deduce the link between the holomorphic curvatures of the Chern-Finsler
connection and its induced tangent connection. Conditions for totally geodesic holomorphic subspaces are obtained.
Communicated by János Szenthe |
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Keywords: | holomorphic subspaces complex Finsler spaces |
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