21 citations
5 papers
Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem
J. Jeronimo-Castro, S. Tabachnikov
The equitangent locus of a convex plane curve consists of the points from which the two tangent segments to the curve have equal length. The equitangent problem concerns the relati…
Null and non--rainbow colorings of projective plane and sphere triangulations
Jorge L. Arocha, Amanda Montejano
For maximal planar graphs of order , we prove that a vertex--coloring containing no rainbow faces uses at most colors, and this is best poss…
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba +1
We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-G…
The equal tangents property
J. Jeronimo-Castro, G. Ruiz-Hernandez, S. Tabachnikov
Let M be a smooth strictly convex closed surface in space and denote by H the set of points x in the exterior of M such that all the tangent segments from x to M have equal lengths…
Exact solutions of a Flat Full Causal Bulk viscous FRW cosmological model through factorization
O. Cornejo-Pérez, J. A. Belinchón
We study the classical flat full causal bulk viscous FRW cosmological model through the factorization method. The method shows that there exists a relationship between the viscosit…