[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2002.17.4.625

RICCI CURVATURE OF SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE

Liu, Ximin (Department of Mathematics, Rutgers University)
Dai, Wanji (Department of Applied Mathematics, Dalian University of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.17, no.4, 2002 , pp. 625-633 More about this Journal

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;

Citations & Related Records

Reference

1	An exotic totally real minimal immersion of S³ and CP³ and its charac-terization / [] / Proc. Royal Soc. Edinburgh, Sect. A, Math DOI
2	Totally real submanifolds of C Pn satisfying a basic equality / [ B.Y. Chen;F. Dillen;L. Verstraelen;L. Vrancken ] / Arch. Math DOI
3	Some pinching and classification theorems for minimal submanifolds / [ B.Y. Chen ] / Arch. Math DOI
4	Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimension / [] / Glasgow Math J. DOI
5	Totally real submanifolds of a quaternion projective space / [ B.Y. Chen;C.S. Houh ] / Ann. Mat. Pura Appl DOI
6	Quaternion Kaehoerian manifolds / [ S. Ishihara ] / J. Diff. Geom DOI
7	Mean curvature and shape operator of isometric immersions in real space form / [] / Glasgow Math J. DOI