Geodesic
Real Hypersurfaces in Complex Two-plane Grassmannians with Reeb Parallel Ricci Tensor in the GTW Connection
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 721-733

Voir la notice de l'article provenant de la source Cambridge

DOI

There are several kinds of classification problems for real hypersurfaces in complex two-plane Grassmannians ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ . Among them, Suh classified Hopf hypersurfaces in ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ with Reeb parallel Ricci tensor in Levi–Civita connection. In this paper, we introduce the notion of generalized Tanaka–Webster $\left( \text{GTW} \right)$ Reeb parallel Ricci tensor for Hopf hypersurfaces in ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ . Next, we give a complete classification of Hopf hypersurfaces in ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ with $\text{GTW}$ Reeb parallel Ricci tensor.
DOI : 10.4153/CMB-2016-035-x
Mots-clés : 53C40, 53C15, complex two-plane Grassmannian, real hypersurface, Hopf hypersurface, generalized Tanaka-Webster connection, parallelism, Reeb parallelism, Ricci tensor 
Pérez, Juan de Dios; Lee, Hyunjin; Suh, Young Jin; Woo, Changhwa. Real Hypersurfaces in Complex Two-plane Grassmannians with Reeb Parallel Ricci Tensor in the GTW Connection. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 721-733. doi: 10.4153/CMB-2016-035-x
@article{10_4153_CMB_2016_035_x,
     author = {P\'erez, Juan de Dios and Lee, Hyunjin and Suh, Young Jin and Woo, Changhwa},
     title = {Real {Hypersurfaces} in {Complex} {Two-plane} {Grassmannians} with {Reeb} {Parallel} {Ricci} {Tensor} in the {GTW} {Connection}},
     journal = {Canadian mathematical bulletin},
     pages = {721--733},
     year = {2016},
     volume = {59},
     number = {4},
     doi = {10.4153/CMB-2016-035-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-035-x/}
}
TY  - JOUR
AU  - Pérez, Juan de Dios
AU  - Lee, Hyunjin
AU  - Suh, Young Jin
AU  - Woo, Changhwa
TI  - Real Hypersurfaces in Complex Two-plane Grassmannians with Reeb Parallel Ricci Tensor in the GTW Connection
JO  - Canadian mathematical bulletin
PY  - 2016
SP  - 721
EP  - 733
VL  - 59
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-035-x/
DO  - 10.4153/CMB-2016-035-x
ID  - 10_4153_CMB_2016_035_x
ER  - 
%0 Journal Article
%A Pérez, Juan de Dios
%A Lee, Hyunjin
%A Suh, Young Jin
%A Woo, Changhwa
%T Real Hypersurfaces in Complex Two-plane Grassmannians with Reeb Parallel Ricci Tensor in the GTW Connection
%J Canadian mathematical bulletin
%D 2016
%P 721-733
%V 59
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-035-x/
%R 10.4153/CMB-2016-035-x
%F 10_4153_CMB_2016_035_x

Cité par Sources :