Abstract

In a given Kahler manifold (M,J) we introduce the notion of Kahler Frenet curves, which is closely related to the complex structure J of M. Using the notion of such curves, we characterize totally geodesic Kahler immersions of M into an ambient Kahler manifold Open image in new window and totally geodesic immersions of M into an ambient real space form Open image in new window of constant sectional curvature Open image in new window.

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