Lie derivatives on real hypersurfaces in a complex projective space

Makoto Kimura; Sadahiro Maeda

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On certain real hypersurfaces of quaternionic projective space.

de Dios Pérez, Juan, Santos, Florentino G. (1991)

International Journal of Mathematics and Mathematical Sciences

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Curvature conditions on hypersurfaces with two distinct principal curvatures

Małgorzata Głogowska (2005)

Banach Center Publications

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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)

Czechoslovak Mathematical Journal

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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

Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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The geometry of closed hypersurfaces

Sebastião de Almeida, Fabiano Brito (1987-1988)

Séminaire de théorie spectrale et géométrie

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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)

Czechoslovak Mathematical Journal

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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.

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

On certain real hypersurfaces of quaternionic projective space.

Curvature conditions on hypersurfaces with two distinct principal curvatures

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

Closed hypersurfaces of S 4 with two constant symmetric curvatures

The geometry of closed hypersurfaces

Real hypersurfaces in complex space forms concerned with the local symmetry

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