The Equations of the Indicatrix of a Complex Finsler Space
نویسندگان
چکیده
In this paper we extend the study of the indicatrix of a complex Finsler space initiated in [10, 11]. The equations that can be introduced on the indicatrix, which is studied as a hypersurface of a complex Finsler space, are investigated. In this manner, using the equations of Gauss-Weingarten, the link between the intrinsic and induced connection is deduced. The equations of Gauss, H -and A-Codazzi, and Ricci equations of the indicatrix are considered. Also, conditions for totally umbilical indicatrix are obtained. 2000 Mathematics Subject Classification: 53B40, 53C60, 53C40, 53B25.
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