Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator

Title:

Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator

Creator:

Pak, Eunmi, De Dios Pérez, Juan, Machado, Carlos J. G., and Woo, Changhwa

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:82c7bf96-e7ea-4e22-b67b-62fef8862c91
uuid:82c7bf96-e7ea-4e22-b67b-62fef8862c91

Subject:

real hypersurface, complex two-plane Grassmannian, Hopf hypersurface, normal Jacobi operator, and generalized Tanaka-Webster parallel normal Jacobi operator

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We study the classifying problem of immersed submanifolds in Hermitian symmetric spaces. Typically in this paper, we deal with real hypersurfaces in a complex two-plane Grassmannian $G_2({\mathbb C}^{m+2})$ which has a remarkable geometric structure as a Hermitian symmetric space of rank 2. In relation to the generalized Tanaka-Webster connection, we consider a new concept of the parallel normal Jacobi operator for real hypersurfaces in $G_2({\mathbb C}^{m+2})$ and prove non-existence of real hypersurfaces in $G_2({\mathbb C}^{m+2})$ with generalized Tanaka-Webster parallel normal Jacobi operator.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

207-218

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:1

Harvested from:

CDK

Metadata only:

false