On Ricci curvature of -totally real submanifolds in Sasakian space forms.
Totally real submanifolds in a complex projective space.
Integral inequalities for maximal space-like submanifolds in the indefinite space form.
Integral Inequalities for Maximal Space-like Submanifolds in the Indefinite Space Form
On symmetric group actions on spin 4-manifolds.
Hypersurfaces with constant scalar curvature in a hyperbolic space form.
Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.
Skew semi-invariant submanifolds of a locally product manifold.
Totally real minimal submanifolds in a quaternion projective space
We prove some pinching theorems with respect to the scalar curvature of 4-dimensional conformally flat (concircularly flat, quasi-conformally flat) totally real minimal submanifolds in QP⁴(c).
On Ricci curvature of totally real submanifolds in a quaternion projective space
Let be a Riemannian -manifold. Denote by and the Ricci tensor and the maximum Ricci curvature on , respectively. In this paper we prove that every totally real submanifolds of a quaternion projective space satisfies , where and are the square mean curvature function and metric tensor on , respectively. The equality holds identically if and only if either is totally geodesic submanifold or and is totally umbilical submanifold. Also we show that if a Lagrangian submanifold of...
Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions
We consider an almost Kenmotsu manifold with the characteristic vector field ξ belonging to the (k,μ)’-nullity distribution and h’ ≠ 0 and we prove that is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that is ξ-Riemannian-semisymmetric. Moreover, if is a ξ-Riemannian-semisymmetric almost Kenmotsu manifold such that ξ belongs to the (k,μ)-nullity distribution, we prove that is...
Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
A new class of -dimensional Lorentz spaces of index is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.
Complete hypersurfaces with constant scalar curvature in a sphere
In this paper, by using Cheng-Yau’s self-adjoint operator , we study the complete hypersurfaces in a sphere with constant scalar curvature.
Stable space-like hypersurfaces in the de Sitter space
In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter spaces.
-biminimal maps between Riemannian manifolds
We give the definition of -biminimal submanifolds and derive the equation for -biminimal submanifolds. As an application, we give some examples of -biminimal manifolds. Finally, we consider -minimal hypersurfaces in the product space and derive two rigidity theorems.
Page 1