Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0

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Abstract

It is known that there do not exist real hypersurfaces with parallel curvature tensor in quaternionic projective spaces. In this paper we classify real hypersurfaces of quaternionic projective space whose curvature tensor is parallel in the direction of certain 3-dimensional distribution.

Keywords

Quaternionic projective space
real hypersurface
curvature tensor

MSC

53C25
53C40

Cited by (0)

1

Research partially supported by TGRC-KOSEF and BSRI-95-1404.