Ricci Curvature of Quaternion Slant Submanifolds in Quaternion Space Forms

Shape Operator of Slant Submanifolds in Kenmotsu Space Forms

Improved Chen-ricci Inequality for Lagrangian Submanifolds in Quaternion Space Forms

In this article, we obtain an improved Chen-Ricci inequality and completely classify Lagrangian submanifolds in quaternion space forms satisfying the equality. Our result is an affirmative answer to Problem 4.6 in [12].

RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...

Some Inequalities on Invariant Submanifolds in Quaternion Space Forms

We establish some inequalities for invariant submanifolds involving totally real sectional curvature and the scalar curvature in a quaternion space form. The equality cases are also discussed. AMS Mathematics Subject Classification (2010): 53C40

Warped Product Submanifolds in Quaternion Space Forms

B.Y. Chen [3] established a sharp inequality for the warping function of a warped product submanifold in a Riemannian space form in terms of the squared mean curvature. For a survey on warped product submanifolds we refer to [4]. In [8], we established a similar relationship between the warping function f (intrinsic structure) and the squared mean curvature and the holomorphic sectional curvatu...