scholarly journals QR-Submanifolds of(p−1) QR-Dimension in a Quaternionic Projective SpaceQP(n+p)/4under Some Curvature Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Hyang Sook Kim ◽  
Jin Suk Pak
Keyword(s):  
Projective Space ◽  
Quaternionic Projective Space

The purpose of this paper is to studyn-dimensionalQR-submanifolds of(p−1)QR-dimension in a quaternionic projective spaceQP(n+p)/4and especially to determine such submanifolds under some curvature conditions.

scholarly journals On real hypersurfaces in quaternionic projective space with𝒟⊥-recurrent second fundamental tensor

1999 ◽  
Vol 22 (1) ◽  
pp. 109-117
Author(s):  
Young Jin Suh ◽  
Juan De Dios Pérez
Keyword(s):  
Projective Space ◽  
Complete Classification ◽  
Real Hypersurfaces ◽  
Quaternionic Projective Space ◽  
Fundamental Tensor ◽  
Orthogonal Distribution

In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective spaceQPmwith𝒟⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution𝒟.

scholarly journals A characterization of Einstein real hypersurfaces in quaternionic projective space

1998 ◽  
Vol 22 (1) ◽  
pp. 165-178
Author(s):  
Soo Hyo Lee ◽  
Juan de Dios Perez ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Real Hypersurfaces ◽  
Quaternionic Projective Space

Naturally reductive homogeneous real hypersurfaces in quaternionic space forms

2003 ◽  
Vol 74 (1) ◽  
pp. 87-100
Author(s):  
Setsuo Nagai
Keyword(s):  
Projective Space ◽  
Hyperbolic Space ◽  
Real Hypersurfaces ◽  
Quaternionic Projective Space ◽  
Space Forms ◽  
The Family ◽  
Quaternionic Hyperbolic Space ◽  
Quaternionic Space ◽  
Naturally Reductive

AbstractWe determine the naturally reductive homogeneous real hypersurfaces in the family of curvature-adapted real hypersurfaces in quaternionic projective space HPn(n ≥ 3). We conclude that the naturally reductive curvature-adapted real hypersurfaces in HPn are Q-quasiumbilical and vice-versa. Further, we study the same problem in quaternionic hyperbolic space HHn(n ≥ 3).

scholarly journals On certain real hypersurfaces of quaternionic projective space

1991 ◽  
Vol 14 (1) ◽  
pp. 205-207 ◽  
Author(s):  
Juan De Dios Perez ◽  
Florentino G. Santos
Keyword(s):  
Projective Space ◽  
Real Hypersurfaces ◽  
Quaternionic Projective Space

We classify certain real hypersurfaces ot a quaternionic projective space satisfying the conditionσ(R(X,Y)SZ)=0.

scholarly journals On the Ricci tensor of real hypersurfaces of quaternionic projective space

1996 ◽  
Vol 19 (1) ◽  
pp. 193-197 ◽  
Author(s):  
Juan De Dios Perez
Keyword(s):  
Projective Space ◽  
Ricci Tensor ◽  
Real Hypersurfaces ◽  
Quaternionic Projective Space

We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].

Sign in / Sign up

Export Citation Format

Share Document