Geodesic
A classification of cyclic Ricci semi-symmetric hypersurfaces in the complex hyperbolic quadric
Filomat, Tome 37 (2023) no. 17, p. 5671

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, the notion of cyclic Ricci semi-symmetric real hypersurfaces in the complex hyperbolic quadric Q m * = SO 0 2,m /SO 2 SO m is introduced. Under the assumption of singular normal vector field N, we have two cases, that is, normal vector field N is either A-principal or A-isotropic. Even though, in the case of A-principal, we proved that there does not exist a real hypersurface in the complex hyperbolic quadric Q m * = SO 0 2,m /SO 2 SO m satisfying the cyclic Ricci semi-symmetric. But on the other case, we proved existence of real hypersurfaces with the same condition.
DOI : 10.2298/FIL2317671K
Classification : 53C40 53C55
Keywords: Cyclic Ricci semi-symmetric, A-isotropic, A-principal, Kähler structure, Complex conjugation, Complex hyperbolic quadric 
Gyu Jong Kim; Young Jin Suh; Changhwa Woo. A classification of cyclic Ricci semi-symmetric hypersurfaces in the complex hyperbolic quadric. Filomat, Tome 37 (2023) no. 17, p. 5671 . doi: 10.2298/FIL2317671K
@article{10_2298_FIL2317671K,
     author = {Gyu Jong Kim and Young Jin Suh and Changhwa Woo},
     title = {A classification of cyclic {Ricci} semi-symmetric hypersurfaces in the complex hyperbolic quadric},
     journal = {Filomat},
     pages = {5671 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317671K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317671K/}
}
TY  - JOUR
AU  - Gyu Jong Kim
AU  - Young Jin Suh
AU  - Changhwa Woo
TI  - A classification of cyclic Ricci semi-symmetric hypersurfaces in the complex hyperbolic quadric
JO  - Filomat
PY  - 2023
SP  - 5671 
VL  - 37
IS  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2317671K/
DO  - 10.2298/FIL2317671K
LA  - en
ID  - 10_2298_FIL2317671K
ER  - 
%0 Journal Article
%A Gyu Jong Kim
%A Young Jin Suh
%A Changhwa Woo
%T A classification of cyclic Ricci semi-symmetric hypersurfaces in the complex hyperbolic quadric
%J Filomat
%D 2023
%P 5671 
%V 37
%N 17
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2317671K/
%R 10.2298/FIL2317671K
%G en
%F 10_2298_FIL2317671K

Cité par Sources :