Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator
نویسندگان
چکیده
منابع مشابه
Recurrent 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 .
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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.
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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 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.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497270003728x