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Tesis Doctoral
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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
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Existence and uniqueness theorem for slant immersions in Sasakian-space-forms
(Institute of Mathematics (University of Debrecen), 2001)
In this paper, we present the existence and uniqueness theorems for slant immersions into Sasakian-space-forms. By applying the first result, we prove several existence theorems for slant submanifolds. In particular, we ...
Artículo
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Magnetic vortex filament flows
(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 ...
Artículo
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Structure on a slant submanifold of a contact manifold
(Indian National Science Academy, 2000-07)
In this paper, we study the possibility of obtaining an induced contact metric structure on a slant submanifold of a contact metric manifold. We also give a characterization theorem for three-dimensional slant submanifolds.
Artículo
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The Gauss-Landau-Hall problem on Riemannian surfaces
(AIP Publishing, 2005)
We introduce the notion of Gauss-Landau-Hall magnetic field on a Riemannian surface. The corresponding Landau-Hall problem is shown to be equivalent to the dynamics of a massive boson. This allows one to view that problem ...
Artículo
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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
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Riemannian submersions and slant submanifolds
(Institute of Mathematics (University of Debrecen), 2002)
We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. We present some construction procedures to obtain slant submanifolds in the unit sphere and in a ...
Artículo
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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
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Massless particles in three-dimensional Lorentzian warped products
(AIP Publishing, 2007-01)
The model of a massless relativistic particle with curvature-dependent Lagrangian is well known in (d+1)-dimensional Minkowski space. For other gravitational fields less rigid than those with constant (zero) curvature only ...
Artículo
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Willmore Tori in a wide family of conformal structures on odd dimensional spheres
(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 ...