arXiv subjects

D. Tejada

Publications and source records attributed to D. Tejada.

5 recordsLinked to original sources

arXiv2023

Aproximaci\'on Din\'amica al Problema de Hermite

In \cite{GCF} it is proved that any quadratic irrational number has a representation as a continuous, infinite and periodic fraction. In 1848, Charles Hermite through a letter Jacobi \cite{Per} wondered if this fact could be generalized to cubic irrational numbers. In This research addresses the Hermite problem, through the study of continuous functions by pieces associated to Fuchsian Groups, particularly a function $f_\Gamma$ associated to the Group Modular $\Gamma$, which was raised in 1978 by Robert Edward and Caroline Series, with this function it is find a representation as infinite periodic continued fraction for irrational numbers quadratics and non-periodic infinite for non-quadratic irrationals. Keywords: Dynamic Approximation, Fuchsian Groups, Hermite Problem.

math.NT↗

arXiv2023

An\'alisis Global de la Ecuaci\'on de Lyness

In this work of divulgation, the global behavior of the Lyness equation is described. Results are obtained for different values of the parameter $\alpha$.

math.DS↗

arXiv2023

Principal Lines on an Ellipsoid in a Minkoswki Tridimensional Space

The description of principal lines of the ellipsoid on the 3-dimensional Minkowski space is established. A global principal parametrization of a triple orthogonal system of quadrics is also achieved, and the focal set of the ellipsoid is sketched.

math.GM↗

arXiv2007

On finite index subgroups of a universal group

The orbifold group of the Borromean rings with singular angle 90 degrees, $U$, is a universal group, because every closed oriented 3--manifold $M^{3}$ occurs as a quotient space $M^{3} = H^{3}/G$, where $G$ is a finite index subgroup of $U$. Therefore, an interesting, but quite difficult problem, is to classify the finite index subgroups of the universal group $U$. One of the purposes of this paper is to begin this classification. In particular we analyze the classification of the finite index subgroups of $U$ that are generated by rotations.

math.GT↗

arXiv2007

Three manifolds as geometric branched coverings of the three sphere

One method for obtaining every closed orientable 3-manifold is as branched covering of the 3-sphere over a link. There is a classical topological result showing that the minimun possible number of sheets in the covering is three. In this paper we obtain a geometric version of this result. The interest is given by the growing importance of geometry in 3-manifolds theory.

math.GT↗