Now showing items 1-10 of 21
The contact number of a pseudo-Euclidean submanifold [Article]
(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 ...
Willmore Tori in a wide family of conformal structures on odd dimensional spheres [Article]
(Rocky Mountain Mathematics Consortium, 2000)
We obtain a variable reduction principle for the Willmore variational problem in an ample class of conformal structures on S2n+1. This variational problem is transformed into another one, associated with an elastic-energ ...
A classification of totally F-umbilical submanifolds of an S-manifold [Article]
(Soochow University, Department of Mathematics, 1992-04)
In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
Magnetic vortex filament flows [Article]
(AIP Publishing, 2007-08)
We exhibit a variational approach to study the magnetic flow associated with a Killing magnetic field in dimension 3. In this context, the solutions of the Lorentz force equation are viewed as Kirchhoff elastic rods and ...
Isotropic submanifolds of pseudo-Riemannian spaces [Article]
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 ...
Rigidity of pseudo-isotropic immersions [Article]
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 ...
On the existence of almost contact structure and the contact magnetic field [Article]
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 ...
The contact magnetic flow in 3D Sasakian manifolds [Article]
(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 ...
Estructuras polinómicas de tipo (h, k) [PhD Thesis]
En esta memoria se definen las estructuras polinómicas de tipo (h, k) como un campo tensorial f de tipo (1 1) no nulo de rango constante cumpliendo: ... ;serif'; font-size: 12pt">a) F elevado a H más F elevado a K = 0. b) ...