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Mostrando ítems 1-4 de 4
Artículo
Isotropic submanifolds of pseudo-Riemannian spaces
(Elsevier, 2012-09)
The family of all the submanifolds of a given Riemannian or pseudo-Riemannian manifold is large enough to classify them into some interesting subfamilies such as minimal (maximal), totally geodesic, Einstein, etc. Most of ...
Artículo
Isotropy and marginally trapped surfaces in a spacetime
(IOP Publishing, 2010)
In this note we shall study the notions of isotropic and marginally trapped surface in a spacetime by using a differential geometric approach. We first consider spacelike isotropic surfaces in a Lorentzian manifold and, ...
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 ...