Lie derivatives on real hypersurfaces in a complex projective space

Makoto Kimura; Sadahiro Maeda

Displaying similar documents to “Lie derivatives on real hypersurfaces in a complex projective space”

On certain real hypersurfaces of quaternionic projective space.

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Curvature conditions on hypersurfaces with two distinct principal curvatures

Małgorzata Głogowska (2005)

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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.

Geometry of holomorphic distributions of real hypersurfaces in a complex projective space

U-Hang Ki, Makoto Kimura, Sadahiro Maeda (2001)

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We characterize homogeneous real hypersurfaces $M$ ’s of type $(A_{1})$ , $(A_{2})$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^{0} M$ of $M$ .

Closed hypersurfaces of $S^{4}$ with two constant symmetric curvatures

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The geometry of closed hypersurfaces

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Real hypersurfaces in complex space forms concerned with the local symmetry

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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.

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

de Dios Perez, Juan (1996)

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On the quadric CMC spacelike hypersurfaces in Lorentzian space forms

Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos (2016)

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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.