Hypersurfaces satisfying a certain condition on the Ricci tensor

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pseudo Projectively Flat Manifolds Satisfying Certain Condition on the Ricci Tensor

In this paper we consider pseudo projectively flat Riemannian manifold whose Ricci tensor S satisfies the condition S(X,Y ) = rT (X)T (Y ), where r is the scalar curvature, T is a non-zero 1-form defined by g(X, ξ) = T (X), ξ is a unit vector field and prove that the manifold is of pseudo quasi constant curvature, integral curves of the vector field ξ are geodesic and ξ is a proper concircular ...

متن کامل

Certain 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 کامل

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 کامل

Damek-ricci Spaces Satisfying the Osserman-,p Condition

has constant eigenvalues , counting multiplic:ities. Note that this definition cloes not depend on the orthonormal basis chosen on the space spanned by E. This notion, introduced i n [SV] or [SP] , generalizes the Osserman condition (p = 1 ) , It is immediate to see th at if p = n then lV1n has constant scalar curvature, Moreover , if p satisfies 1 :::; p < n then the riemannian manifold is Ein...

متن کامل

The *-Ricci tensor for hypersurfaces in CP and CH

We update and refine the work of T. Hamada concerning *-Einstein hypersurfaces in CPn and CHn. We also address existence questions using the methods of moving frames and exterior differential systems.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Tohoku Mathematical Journal

سال: 1969

ISSN: 0040-8735

DOI: 10.2748/tmj/1178242998