Geodesic
Real Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Structure Jacobi Operator
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 821-833

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DOI

In this paper we give a characterization of a real hypersurface of Type $\left( A \right)$ in complex two-plane Grassmannians ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ , which means a tube over a totally geodesic ${{G}_{2}}\left( {{\mathbb{C}}^{m+1}} \right)$ in ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ , by means of the Reeb parallel structure Jacobi operator ${{\nabla }_{\xi }}{{R}_{\xi }}\,=\,0$ .
DOI : 10.4153/CMB-2013-018-3
Mots-clés : 53C40, 53C15, real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, Reeb parallel, structure Jacobi operator 
Jeong, Imsoon; Kim, Seonhui; Suh, Young Jin. Real Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Structure Jacobi Operator. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 821-833. doi: 10.4153/CMB-2013-018-3
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     author = {Jeong, Imsoon and Kim, Seonhui and Suh, Young Jin},
     title = {Real {Hypersurfaces} in {Complex} {Two-Plane} {Grassmannians} with {Reeb} {Parallel} {Structure} {Jacobi} {Operator}},
     journal = {Canadian mathematical bulletin},
     pages = {821--833},
     year = {2014},
     volume = {57},
     number = {4},
     doi = {10.4153/CMB-2013-018-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-018-3/}
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