Journal Article10.4153/CMB-2011-193-6
Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie D -parallel
Juan de Dios Pérez,Young Jin Suh +1 more
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TL;DR: In this article, real hypersurfaces in complex projective spaces whose structure Jacobi operator is Lie parallel are classified as hypersurface in the projective projective space, where the Jacobi operators are Lie parallel.
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Abstract: We classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Lie parallel in
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Citations
Hopf hypersurfaces in complex two-plane grassmannians with lie parallel normal jacobi operator
Imsoon Jeong,Young Jin Suh +1 more
TL;DR: In this article, some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian G2(Cm+2) with Lie parallel normal Jacobi operator were given.
Real hypersurfaces in CP 2 and CH 2 whose structure Jacobi operator is Lie D-parallel
K. Panagiotidou,Ph. J. Xenos +1 more
- 06 Jan 2013
TL;DR: In this article, the authors studied the parallelness of the Lie derivative of the structure Jacobi operator of a real hypersurface with respect to vector field X ∈ D in CP2 and CH2.
Commuting structure jacobi operator for hopf hypersurfaces in complex two-plane grassmannians
TL;DR: In this article, the authors classify real hypersurfaces in complex two-plane Grassmannians whose structure Jacobi operator commutes either with any other J operator or with the normal J operator.
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Some characterizations of real hypersurfaces of type (a) in a nonflat complex space form
U-Hang Ki,Huili Liu +1 more
TL;DR: In this paper, it was shown that if the structure Jacobi operator Rξ is ξ-parallel and R ξ commutes with the Ricci tensor S, then a real hypersurface with non-negative scalar curvature of a nonflat complex space form Mn(c) is a Hopf hypersuro surface.
Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator
TL;DR: In this article, the authors classified real hypersurfaces in a non-flat complex space form with its structure Jacobi operator and proved the non-existence of real hyperssurfaces with D-parallel as well as D-recurrent structure JacobI operator in complex projective and hyperbolic spaces.
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