Geodesic
Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 134-143

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DOI

In this paper we give a characterization of real hypersurfaces of type $A$ in a complex two-plane Grassmannian ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ which are tubes over totally geodesic ${{G}_{2}}\left( {{\mathbb{C}}^{m+1}} \right)$ in ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ in terms of the vanishing Lie derivative of the shape operator $A$ along the direction of the Reeb vector field $\xi$ .
DOI : 10.4153/CMB-2006-014-8
Mots-clés : 53C40, 53C15 
Suh, Young Jin. Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 134-143. doi: 10.4153/CMB-2006-014-8
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     author = {Suh, Young Jin},
     title = {Real {Hypersurfaces} in {Complex} {Two-Plane} {Grassmannians} with {Vanishing} {Lie} {Derivative}},
     journal = {Canadian mathematical bulletin},
     pages = {134--143},
     year = {2006},
     volume = {49},
     number = {1},
     doi = {10.4153/CMB-2006-014-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-014-8/}
}
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