A new condition on the structure Jacobi operator of real hypersurfaces in non-flat complex space forms

DOI10.1007/S00009-014-0415-0zbMath1323.53063OpenAlexW1986304949MaRDI QIDQ2354278

Konstantina Panagiotidou, Juan de Dios Pérez, George Kaimakamis

Publication date: 10 July 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0415-0

zbMATH Keywords

real hypersurfacecomplex projective spacecomplex hyperbolic spaceLie derivativestructure Jacobi operator

Mathematics Subject Classification ID

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

Cites Work

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• On some real hypersurfaces of a complex hyperbolic space
• Real hypersurfaces in a complex projective space with constant principal curvatures
• Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie \(\xi\)-parallel
• On homogeneous real hypersurfaces in a complex projective space
• The structure Jacobi operator for real hypersurfaces in \({{\mathbb{CP}}^2}\) and \({{\mathbb{C} \mathbb H}^2}\)
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
• On Some Real Hypersurfaces of a Complex Projective Space
• Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel
• A characterization of certain geodesic hyperspheres in complex projective space

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