Periodica Mathematica Hungarica

, Volume 55, Issue 1, pp 97–112 | Cite as

The equations of a holomorphic subspace in a complex Finsler space

  • Gheorghe MunteanuEmail author


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.

Key words and phrases

holomorphic subspaces complex Finsler spaces 

Mathematics subject classification number

53B40 53B25 


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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Faculty of Mathematics and InformaticsTransilvania University of BraşovBraşovRomania

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