Now showing items 1-7 of 7

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      Inmersiones isotrópicas pseudo-riemannianas  [Doctoral Thesis]

      Gómez Casanueva, Juan Salvador (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 ...
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      Isotropic submanifolds of pseudo-Riemannian spaces  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Gómez Casanueva, Juan Salvador (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 ...
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      Isotropy and marginally trapped surfaces in a spacetime  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Gómez Casanueva, Juan Salvador (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, ...
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      On the existence of almost contact structure and the contact magnetic field  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Gómez Casanueva, Juan Salvador (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 ...
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      Rigidity of pseudo-isotropic immersions  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Gómez Casanueva, Juan Salvador (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 ...
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      The contact magnetic flow in 3D Sasakian manifolds  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Gómez Casanueva, Juan Salvador (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 ...
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      The contact number of a pseudo-Euclidean submanifold  [Article]

      Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Gómez Casanueva, Juan Salvador (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 ...