Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0
Juan de Dios Pérez,Young Jin Suh +1 more
Reads0
Chats0
TLDR
In this paper, the authors classify real hypersurfaces of quaternionic projective space whose curvature tensor is parallel in the direction of a 3D distribution, and they show that there are real hypersurifaces with parallel curvature vectors in quaternion projective spaces.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.read more
Citations
More filters
Journal ArticleDOI
Real hypersurfaces in complex two-plane grassmannians with gtw reeb lie derivative structure jacobi operator
TL;DR: In this article, the authors considered a real hypersurface M in a complex two-plane Grassmannian and proved that M is an open part of a tube around a totally geodesic.
Journal ArticleDOI
Cyclic structure Jacobi semi-symmetric real hypersurfaces in the complex quadric
Journal ArticleDOI
Cyclic ricci semisymmetric real hypersurfaces in the complex quadric
TL;DR: In this paper , the notion of cyclic Ricci semisymmetric real hypersurfaces in the complex quadric Qm=SOm+2∕SOmSO2 was introduced.
Posted Content
Isometric Reeb flow in complex hyperbolic quadrics
TL;DR: In this article, it was shown that real hypersurfaces with isometric Reeb flow in complex hyperbolic quadrics do not have any isometry in odd-dimensional complex quadrics.
References
More filters
Journal ArticleDOI
Quaternion Kählerian manifolds
TL;DR: Alekseevskii et al. as mentioned in this paper studied quaternion Kahlerian manifolds by using tensor calculus and obtained many interesting results. But they did not define a manifold as a Riemannian manifold which admits a bundle V of tensors of type (1, 1) having some properties.
Journal Article
Real hypersurfaces in quaternionic space forms.
TL;DR: In this paper, it was shown that in non-Euclidean spaces of constant holomorphic sectional curvature the curvature-adapted (real) hypersurfaces are exactly the Hopf hypersurface.
Journal ArticleDOI
Real hypersurfaces in quaternionic projective space
TL;DR: In this article, a systematic study of real hypersurfaces of quaternionic projective space using focal set theory was made, and the Ricci tensor of such hypersurface was studied.
Journal ArticleDOI
Real hypersurfaces of quaternionic projective space satisfying $$\nabla _{U_i } A = 0$$
TL;DR: In this paper, real hypersurfaces of quaternionic projective space satisfying the following properties were classified: 1, 2, 3.1.2, 4.3.
Related Papers (5)
Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians
Jurgen Berndt,Young Jin Suh +1 more
The ricci tensor of real hypersurfaces in complex two-plane grassmannians
Perez Juan De Dios,Suh Young-Jin +1 more