Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3275
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, D. H, & WOO, C (2022). Semisymmetric hypersurfaces in complex hyperbolic two-plane Grassmannians. Turkish Journal of Mathematics 46 (6): 2377-2393. https://doi.org/10.55730/1300-0098.3275
