Kaehler submanifolds of the real hyperbolic space

Sergio Chion, Marcos Dajczer

Producción científica: Contribución a una revistaArtículorevisión exhaustiva


The local classification of Kaehler submanifolds of the hyperbolic space with low codimension under only intrinsic assumptions remains a wide open problem. The situation is quite different for submanifolds in the round sphere, since Florit et al. [7] have shown that the codimension has to be and then that any submanifold is just part of an extrinsic product of two-dimensional umbilical spheres in. The main result of this paper is a version for Kaehler manifolds isometrically immersed into the hyperbolic ambient space of the result in [7] for spherical submanifolds. Besides, we generalize several results obtained by Dajczer and Vlachos [5].

Idioma originalInglés
PublicaciónProceedings of the Edinburgh Mathematical Society
EstadoAceptada/en prensa - 2023
Publicado de forma externa


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