Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.

Bibliographic Details
Main Authors: de Dios Pérez Juan, Suh Young Jin, Woo Changhwa
Format: Article
Language:English
Published: De Gruyter 2015-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2015-0046