Real hypersurfaces in complex projective space with recurrent structure Jacobi operator
نویسندگان
چکیده
منابع مشابه
Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie ξ - parallel
We classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Lie parallel in the direction of the structure vector field. 2004 Elsevier B.V. All rights reserved.
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 کاملHypersurfaces of a Sasakian space form with recurrent shape operator
Let $(M^{2n},g)$ be a real hypersurface with recurrent shapeoperator and tangent to the structure vector field $xi$ of the Sasakian space form$widetilde{M}(c)$. We show that if the shape operator $A$ of $M$ isrecurrent then it is parallel. Moreover, we show that $M$is locally a product of two constant $phi-$sectional curvaturespaces.
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 کاملRecurrent Jacobi Operator of Real Hypersurfaces in Complex Two-plane Grassmannians
In this paper we give a non-existence theorem for Hopf hypersurfaces in the complex two-plane Grassmannian G2(C) with recurrent normal Jacobi operator R̄N .
متن کاملذخیره 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: Differential Geometry and its Applications
سال: 2008
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2007.11.015