Ricci curvature of submanifolds in a quaternion projective space$^*$
Commun. Korean Math. Soc. 2002 Vol. 17, No. 4, 625-633 Printed December 1, 2002
Liu Ximin, Dai Wanji Rutgers Univeristy, Dalian University of Technology
Abstract : Recently, Chen establishes sharp relationship between the $k$-Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. In this paper, we establish sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in quaternion projective spaces.
Keywords : Ricci curvature, mean curvature, totally real submanifold, quaternion projective space