Preprint D57/2009
Parallel mean curvature vector, C-totally real submanifold, Sasakian space form, pseudo-parallel submanifold.

Maxwell Mariano

**Keywords: **
Parallel mean curvature vector | C-totally real submanifold | Sasakian space form | pseudo-parallel submanifold

In this paper, we prove a generalized integral inequality for an $n$-dimensional oriented closed $C$-totally real submanifold $M$ with parallel mean
curvature vector $h$ in a $(2m+1)$-dimensional closed $\lambda$-Sasakian space form $\tilde{M}(c)$ of
constant $\varphi$-sectional curvature $c$ with $0