Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators
Differential Geometry
2016-02-26 v1
Abstract
In this paper, we introduce a new commuting condition between the structure Jacobi operator and symmetric (1,1)-type tensor field , that is, , where or for Hopf hypersurfaces in complex hyperbolic two-plane Grassmannians. By using simultaneous diagonalzation for commuting symmetric operators, we give a complete classification of real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting condition respectively.
Cite
@article{arxiv.1602.08018,
title = {Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators},
author = {Hyunjin Lee and Young Jin Suh and Changhwa Woo},
journal= {arXiv preprint arXiv:1602.08018},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1409.6387, arXiv:1310.5436