Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3275
Abstract
In this paper, we introduce new notions of symmetric operators such as semisymmetric shape operator and structure Jacobi operator in complex hyperbolic two-plane Grassmannians. Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians $S U_{2, m} / S\left(U_{2} \cdot U_{m}\right)$ with such notions.
Keywords
Real hypersurfaces, complex hyperbolic two-plane Grassmannians, Hopf hypersurface, semisymmetric shape operator, semisymmetric structure Jacobi operator
First Page
2377
Last Page
2393
Recommended Citation
HWANG, DOO HYUN and WOO, CHANGHWA
(2022)
"Semisymmetric hypersurfaces in complex hyperbolic two-plane Grassmannians,"
Turkish Journal of Mathematics: Vol. 46:
No.
6, Article 23.
https://doi.org/10.55730/1300-0098.3275
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss6/23
