2 papers
math.SG2019
A Quaternionic Structure as a Landmark for Symplectic Maps
Hugo Jiménez-Pérez
We use a quaternionic structure on the product of two symplectic manifolds for relating Liouvillian forms with linear symplectic maps obtained by the symplectic Cayley's transforma…
math.DG2011
On Alfred Gray's Elliptical Catenoid
Hugo Jiménez-Pérez, Santiago López de Medrano
We give a parameterization of Alfred Gray's Elliptical Catenoid and Elliptical Hellicoid using Jacobi's elliptic functions. This parameterization avoids some problems present in th…