KWON, J.-H and PAK, J.S.: Scalar curvature of <i>QR</i>-submanifolds immersed in a quaternionic projective space

KWON, J.-H and PAK, J.S.: Scalar curvature of QR-submanifolds immersed in a quaternionic projective space

Saitama Mathematical Journal 1999(Vol. 17) pp.47-57

Abstract

In the present paper we study n-dimensional, compact, minimal QR-submanifolds of (p-1)QR-dimension immersed in a quaternionic projective space QP^(n+p)/4, and give a sufficient condition in order that such a submanifold is a tube over a quaternionic invariant subspace.
1991 Mathematics Subject Classification: 53C40, 53C15
Key words and phrases: quaternionic projective space, scalar curvature, QR-submanifold, quaternionic invariant distribution, minimal