In this paper, we investigate n-dimensional complete and orientable hypersu- faces Mn （n≥3） with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hy...In this paper, we investigate n-dimensional complete and orientable hypersu- faces Mn （n≥3） with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces.展开更多
In this paper we obtain some formulas for totally umbilical submanifolds in a localiy symmetric manifold, and dcrivc some local rcsults on the submanifolds from these formulas.
The object of the present paper is to introduce the notion of generalized φ-recurrent Sasakian manifold and study its various geometric properties with the existence of such notion. Among others we study generalized ...The object of the present paper is to introduce the notion of generalized φ-recurrent Sasakian manifold and study its various geometric properties with the existence of such notion. Among others we study generalized concircularly φ-recurrent Sasakian manifolds. The existence of generalized φ-recurrent Sasakian manifold is given by a proper example.展开更多
基金Supported by NSFC No.10971029, NSFC-Tian Yuan Fund No.11026062Project of Henan Provincial Department of Education No.2011A110015Talent youth teacher fund of Xinyang Normal University
文摘In this paper, we investigate n-dimensional complete and orientable hypersu- faces Mn （n≥3） with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces.
文摘In this paper we obtain some formulas for totally umbilical submanifolds in a localiy symmetric manifold, and dcrivc some local rcsults on the submanifolds from these formulas.
文摘The object of the present paper is to introduce the notion of generalized φ-recurrent Sasakian manifold and study its various geometric properties with the existence of such notion. Among others we study generalized concircularly φ-recurrent Sasakian manifolds. The existence of generalized φ-recurrent Sasakian manifold is given by a proper example.
