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Mostrando ítems 1-10 de 18
Artículo
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
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
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
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
Semi-slant submanifolds of a Sasakian manifold
(Springer, 1999-11)
We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain ...
Artículo
On pseudo-Einstein hypersurfaces of ℋ2n+s
(Indian National Science Academy, 1996-05)
In this paper, some properties of the geometry of pseudo-Einstein hypersurfaces of the S-manifold ℋ 2n+s are studied and a theorem concerning their principal curvatures is obtained.
Artículo
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
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
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
On certain anti-invariant submanifolds of an S-manifold
(Sociedade Portuguesa de Matemática, 1993)
In this paper, the geometry of certain anti-invariant submanifolds of an S-manifold, namely those which are normal to the structure vector fields, is studied.