Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians
Differential Geometry
2014-02-25 v1
Abstract
The objective of the present paper is to prove the non-existence of real hypersurface with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians. As a corollary, we show that there does not exist any real hypersurface with semi-parallel or recurrent normal Jacobi operator in complex two-plane Grassmannians. This answers a question considered in [Monatsh Math, 172 (2013), 167-178] in negative.
Cite
@article{arxiv.1402.5705,
title = {Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians},
author = {Avik De and Tee-How Loo},
journal= {arXiv preprint arXiv:1402.5705},
year = {2014}
}