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Tesis Doctoral
Inmersiones isotrópicas pseudo-riemannianas
(2008)
La noción de inmersión isotrópica Riemanniana fue introducida por B. O Neill [O N1] quien estudió propiedades generales de esta clase de inmersiones. Estas inmersiones pueden ser consideradas como una generalización del ...
Artículo
On the existence of almost contact structure and the contact magnetic field
(Springer, 2009-10)
In this short note we give a simple proof of the existence of an almost contact metric structure on any orientable 3-dimensional Riemannian manifold (M3, g) with the prescribed metric g as the adapted metric of the almost ...
Artículo
Rigidity of pseudo-isotropic immersions
(Elsevier, 2009-07)
Several notions of isotropy of a (pseudo)Riemannian manifold have been introduced in the literature, in particular, the concept of pseudo-isotropic immersion. The aim of this paper is to look more closely at this notion ...
Artículo
The contact magnetic flow in 3D Sasakian manifolds
(IOP Publishing, 2009-05-15)
We first present a geometrical approach to magnetic fields in three-dimensional Riemannian manifolds, because this particular dimension allows one to easily tie vector fields and 2-forms. When the vector field is divergence ...
Artículo
The contact number of a pseudo-Euclidean submanifold
(Mathematical Society of the Republic of China, 2008-10)
In this paper we define the contact number of a pseudo-Riemannian submanifold into the pseudo-Euclidean space, and prove that this contact number is closely related to the notion of pseudo-isotropic submanifold. We give ...