In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
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May 27, 2016 (v1)PublicationUploaded on: March 27, 2023
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December 12, 2016 (v1)Publication
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.
Uploaded on: December 4, 2022 -
October 25, 2016 (v1)Publication
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) ko = 2k h-k par. c) rang f elevado a j-1 = 1/j (j-1rang f elevado a j + dim v) 1o= jo= k y probamos el teorema: Sobre una...
Uploaded on: March 27, 2023 -
December 16, 2016 (v1)Publication
In this paper, the notion of ξ-conformally flat on a contact metric structure is introduced and it is proved that any K-contact metric manifold is ξ-conformally flat if and only if it is an η-Einstein Sasakian manifold. Finally, some applications are given.
Uploaded on: December 5, 2022 -
November 21, 2016 (v1)Publication
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 prove the existence theorems for three-dimensional slant submanifolds with prescribed mean curvature or with prescribed scalar...
Uploaded on: December 4, 2022 -
December 16, 2016 (v1)Publication
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.
Uploaded on: December 4, 2022 -
October 19, 2016 (v1)Publication
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 integrability conditions for the distributions which are involved in the definition of such submanifolds. We also study an...
Uploaded on: December 4, 2022 -
November 21, 2016 (v1)Publication
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 Stiefel manifold. We also generalize them by means of the Boothby-Wang fibration. Finally, we show some characterization...
Uploaded on: March 27, 2023 -
May 27, 2016 (v1)Publication
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-energy functional with potential, on spaces of curves in CP n. Then, we give a simple method to construct Willmore tori in certain...
Uploaded on: March 27, 2023 -
July 21, 2016 (v1)Publication
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 as a globally stated, variational one. In this framework, flowlines appear as critical points of an action with density...
Uploaded on: March 27, 2023 -
October 7, 2016 (v1)Publication
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 conversely. This provides an amazing connection between two apparently unrelated physical models and, in particular, it ties...
Uploaded on: December 4, 2022