Real Hypersurfaces in CP^2 AND CH^2 whose structure Jacobi operator is Lie D-parallel

zbMath1282.53049arXiv1201.2540MaRDI QIDQ2856418

Konstantina Panagiotidou, Philippos J. Xenos

Publication date: 28 October 2013

Full work available at URL: https://arxiv.org/abs/1201.2540

zbMATH Keywords

real hypersurfacecomplex projective spacecomplex hyperbolic spacestructure Jacobi operatorLie \(\mathbb D\)-parallelness

Mathematics Subject Classification ID

Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25) Almost contact and almost symplectic manifolds (53D15)

Related Items (19)

Derivatives on real hypersurfaces of two-dimensional non-flat complex space forms ⋮ A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator ⋮ Commuting conditions of the \(k\)-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms ⋮ Three dimensional 2-Hopf hypersurfaces with harmonic curvature ⋮ Weakly Einstein real hypersurfaces in \(\mathbb{C} P^2\) and \(\mathbb{C} H^2\) ⋮ Ricci η‐recurrent real hypersurfaces in 2‐dimensional nonflat complex space forms ⋮ Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators ⋮ GTW parallel structure Jacobi operator of real hypersurfaces in nonflat complex space forms ⋮ On 2-Hopf hypersurfaces in nonflat complex planes ⋮ Comparison of differential operators with Lie derivative of three-dimensional real hypersurfaces in non-flat complex space forms ⋮ Generalized -Einstein Real Hypersurfaces in and ⋮ \(k\)-th generalized Tanaka-Webster Einstein real hypersurfaces in non-flat complex space forms ⋮ Conditions of parallelism of \(^{*}\)-Ricci tensor of three dimensional real hypersurfaces in non-flat complex space forms ⋮ Real hypersurfaces in \(\mathbb{C}P^2\) with constant Reeb sectional curvature ⋮ Conformally flat real hypersurfaces in nonflat complex planes ⋮ \(\mathbb{D}\)-recurrent \(\ast\)-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms ⋮ Real hypersurfaces in \(\mathbb{C} P^2\) and \(\mathbb{C} H^2\) with constant scalar curvature ⋮ On a new type of tensor on real hypersurfaces in non-flat complex space forms ⋮ Generalized \(\mathcal{D}\)-Einstein real hypersurfaces with constant coefficient

This page was built for publication: Real Hypersurfaces in CP^2 AND CH^2 whose structure Jacobi operator is Lie D-parallel