The equations of the indicatrix of a complex Finsler space
Keywords:
complex Finsler space, indicatrix, induced connection, Gauss equations, Ricci equations, H-and A -Codazzi equationsAbstract
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.
