On Real Hypersurfaces in Quaternionic Projective Space with D⊥-recurrent Second Fundamental Tensor
نویسنده
چکیده
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with ⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution .
منابع مشابه
Real Hypersurfaces of a Complex Projective Space Satisfying Certain Conditions
The objective of the present paper is to study real hyper surfaces of a complex projective space with generalized recurrent second fundamental tensor and it is shown that such type real hyper surface exist. Also, we study real hyper surfaces of a complex projective space with generalized recurrent Ricci tensor. It is proved that a real hyper surfaces of complex projective space is generalized R...
متن کاملCertain Conditions on the Ricci Tensor of Real Hypersurfaces in Quaternionic Projective Spaces
The purpose of this paper is to classify real hypersurfaces of quaternionic projective spaces whose Ricci tensor satisfy a pair of conditions on the maximal quaternionic distribution D? = Span fU1; U2; U3g. x0. Introduction Throughout this paper let us denote by M a connected real hypersurface in a quaternionic projective space QP, m=3, endowed with the metric g of constant quaternionic section...
متن کاملPseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملReal Hypersurfaces in Quaternionic Projective Spaces with Commuting Tangent Jacobi Operators
From the classical differential equation of Jacobi fields, one naturally defines the Jacobi operator of a Riemannian manifold with respect to any tangent vector. A straightforward computation shows that any real, complex and quaternionic space forms satisfy that any two Jacobi operators commute. In this way, we classify the real hypersurfaces in quaternionic projective spaces all of whose tange...
متن کاملHoph Hypersurfaces of Sasakian Space Form with Parallel Ricci Operator Esmaiel Abedi, Mohammad Ilmakchi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Let M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hypersurfaces and hoph hypersurfaces with a parallel ricci tensor structure and show that there are two cases. In the first case, th...
متن کامل