On certain real hypersurfaces of quaternionic projective space.

de Dios Pérez, Juan; Santos, Florentino G.

Displaying similar documents to “On certain real hypersurfaces of quaternionic projective space.”

On the Ricci tensor of real hypersurfaces of quaternionic projective space.

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Real hypersurfaces of type $A$ in quaternionic projective space.

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On real hypersurfaces in quaternionic projective space with $𝒟^{⊥}$ -recurrent second fundamental tensor.

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Lie derivatives on real hypersurfaces in a complex projective space

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Real hypersurfaces in complex space forms concerned with the local symmetry

Seon Mi Lyu, Juan de Dios Pérez, Young Jin Suh (2007)

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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_{m} (4 ϵ)$ . In the second, we give a complete classification of real hypersurfaces in $M_{m} (4 ϵ)$ which satisfy the above geometric facts.

Curvature conditions on hypersurfaces with two distinct principal curvatures

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We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.

Characterizations of conformally flat hypersurfaces

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Characterization of totally umbilic hypersurfaces in a space form by circles

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In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.

On the quadric CMC spacelike hypersurfaces in Lorentzian space forms

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We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.