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

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

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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