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

U-Hang Ki; Makoto Kimura; Sadahiro Maeda

Displaying similar documents to “Geometry of holomorphic distributions of real hypersurfaces in a complex projective space”

A characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form

Mayuko Kon (2008)

Czechoslovak Mathematical Journal

Similarity:

We give a characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form in terms of totally umbilical condition for the holomorphic distribution on real hypersurfaces. We prove that if the shape operator $A$ of a real hypersurface $M$ of a complex space form $M^{n} (c)$ , $c \neq 0$ , $n \geq 3$ , satisfies $g (A X, Y) = a g (X, Y)$ for any $X, Y \in T_{0} (x)$ , $a$ being a function, where $T_{0}$ is the holomorphic distribution on $M$ , then $M$ is a totally $η$ -umbilical real hypersurface or locally congruent to a ruled real...

Lie derivatives on real hypersurfaces in a complex projective space

Makoto Kimura, Sadahiro Maeda (1995)

Czechoslovak Mathematical Journal

Similarity:

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

Similarity:

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

A characterization of totally η -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form

Lie derivatives on real hypersurfaces in a complex projective space

Real hypersurfaces in complex space forms concerned with the local symmetry

A characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form