Geodesic
A Classification of Three-dimensional Real Hypersurfaces in Non-flat Complex Space Forms in Terms of their Generalized Tanaka–Webster Lie Derivative
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 813-823

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

On a real hypersurface $M$ in a non-flat complex space form there exist the Levi–Civita and the $k$ -th generalized Tanaka–Webster connections. The aim of this paper is to study three dimensional real hypersurfaces in non-flat complex space forms, whose Lie derivative of the structure Jacobi operatorwith respect to the Levi–Civita connection coincides with the Lie derivative of it with respect to the $k$ -th generalized Tanaka-Webster connection. The Lie derivatives are considered in direction of the structure vector field and in direction of any vector field orthogonal to the structure vector field.
DOI : 10.4153/CMB-2016-042-2
Mots-clés : 53C15, 53B25, k-th generalized Tanaka–Webster connection, non-flat complex space form, real hypersurface, Lie derivative, structure Jacobi operator 
Kaimakamis, George; Panagiotidou, Konstantina; Perez, Juan de Dios. A Classification of Three-dimensional Real Hypersurfaces in Non-flat Complex Space Forms in Terms of their Generalized Tanaka–Webster Lie Derivative. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 813-823. doi: 10.4153/CMB-2016-042-2
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     journal = {Canadian mathematical bulletin},
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