Add to ORKGAbstract. Let Mn be a Riemannian n-manifold. Denote by S(p) and Ric(p) the Ricci tensor and the maximum Ricci curvature on Mn, respectively. In this paper we prove that every C-totally real submanifold of a Sasakian space form NM2mC1(c) satisfies S ( (n−1)(cC3)4 C n 2 4 H 2)g, where H 2 and g are the square mean curvature function and metric tensor on Mn, respectively. The equality holds identically if and only if either Mn is totally geodesic submanifold or n D 2 and Mn is totally umbilical submanifold. Also we show that if a C-totally real submanifold Mn of NM2nC1(c) satisfies Ric D (n−1)(cC3)4 C n 2 4
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
summary:We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvat...
Abstract. Let Mn be a Riemannian n-manifold. Denote by S(p) and Ric(p) the Ricci tensor and the maxi...
We establish a sharp inequality between the squared mean curvature and the scalar curvature for a C-...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. If the Ric...
Abstract. In this paper, we prove a generalized integral inequality for an n-dimensional oriented cl...
Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. If the Ri...
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product subma...
Minimality of certain contact slant submanifolds in Sasakian space forms Ion MIHAI and Valentin GHIS...
Abstract. In the present paper, we obtain sharp inequalities between the Ricci curvature and the squ...
In this paper, we establish the following result: Let M be an n-dimensional complete totally real mi...
Abstract. In this paper, we establish the following result: Let M be an n-dimensional complete total...
AbstractWe present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like tenso...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
summary:We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvat...
Abstract. Let Mn be a Riemannian n-manifold. Denote by S(p) and Ric(p) the Ricci tensor and the maxi...
We establish a sharp inequality between the squared mean curvature and the scalar curvature for a C-...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. If the Ric...
Abstract. In this paper, we prove a generalized integral inequality for an n-dimensional oriented cl...
Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. If the Ri...
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product subma...
Minimality of certain contact slant submanifolds in Sasakian space forms Ion MIHAI and Valentin GHIS...
Abstract. In the present paper, we obtain sharp inequalities between the Ricci curvature and the squ...
In this paper, we establish the following result: Let M be an n-dimensional complete totally real mi...
Abstract. In this paper, we establish the following result: Let M be an n-dimensional complete total...
AbstractWe present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like tenso...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
summary:Let $M^n$ be a Riemannian $n$-manifold. Denote by $S(p)$ and $\overline{\operatorname{Ric}}(...
summary:We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvat...