In this paper, we give some characteristics for Sasakian anti-holomorphic submanifolds of a locally conformal Kaehler manifold, and prove that, for a Sasakian anti-holomorphic submanifold M of locally conformal Kaehler manifold , if M is orthogonal to Lee vector field B_0, then M is D-umbilical.

This paper discusses complete Kaehler submanifolds of complex projective space P n+p(1) with constant holomorphic sectional curvature 1, it generalizes the corresponding result of compact Kaehler submanifolds of P n+p(1).

This dissertatian is mainly concernd with several problems of Kaehler submanifolds and totally real submanifolds in complex projective space.

In any H-projective recurrent Kaehler manifold HK , the curvature tensor can be ex-pressed by the vector of recurrent and its associated vector with respect to the complex structure tensorin the following wayor it can be given in terms of the recurrent vector and the Ricci tensor by the formIf the scalar curvature of HK manifold is different from zero,then the curvature tensor has the from o

In this thesis,we study several problems of Kaehler submanifolds and totally real submanifolds in a locally symmetric Bochner-Kaehler manifold.

The study concerning the integrability of almost Kaehler manifolds is stemed from a well-known conjecture referred firstly by S.

Based on the work of [12],[13], the author studies in this paper some geometric properties of complex Finsler hypersurface of a Kaehler Finsler manifold.