### Totally real submanifolds of a complex space form.

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The purpose of this paper is to study contact CR-submanifolds with nonvanishing parallel mean curvature vector immersed in a Sasakian space form. In §1 we state general formulas on contact CR-submanifolds of a Sasakian manifold, especially those of a Sasakian space form. §2 is devoted to the study of contact CR-submanifolds with nonvanishing parallel mean curvature vector and parallel f-structure in the normal bundle immersed in a Sasakian space form. Moreover, we suppose that the second fundamental...

We characterize homogeneous real hypersurfaces $M$’s of type $\left({A}_{1}\right)$, $\left({A}_{2}\right)$ and $\left(B\right)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution ${T}^{0}M$ of $M$.

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