Real hypersurfaces in complex projective space whose structure Jacobi operator satisfies \({\mathcal L}_\xi r_\xi=\nabla_\xi r_\xi\)
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Publication:2270588
DOI10.1216/RMJ-2009-39-4-1293zbMath1169.53013MaRDI QIDQ2270588
Juan de Dios Pérez, Florentino G. Santos
Publication date: 28 July 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)
Related Items (6)
Derivatives on real hypersurfaces of two-dimensional non-flat complex space forms ⋮ The structure Jacobi operator and the shape operator of real hypersurfaces in \(\mathbb CP^2\) and \(\mathbb CH^2\) ⋮ Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces II ⋮ Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces ⋮ Unnamed Item ⋮ Lie and generalized Tanaka–Webster derivatives on real hypersurfaces in complex projective spaces
Cites Work
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- Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie \(\xi\)-parallel
- Real hypersurfaces in complex projective space whose structure Jacobi operator is \(\mathbb D\)-parallel
- Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat complex space forms
- Focal Sets and Real Hypersurfaces in Complexes Projective Space
- Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is of Codazzi Type
- On real hypersurfaces of a complex projective space
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