2 papers
math.DG2026
Geometric Properties and Spectral Estimates on Warped Products
Josué Meléndez, Eduardo Rodríguez-Romero, Jonatán Torres Orozco
We establish an integral inequality for the Ricci curvature of a certain class of warped products , where the equality holds if and only if it is simply a Riemannian pr…
math.DS2016
Hyperbolic Shirts fit a 4-body Problem
Connor Jackman, Josué Meléndez
Consider the equal mass planar -body problem with a potential corresponding to an inverse \textit{cube} force. The Jacobi-Maupertuis principle reparametrizes the dynamics as geo…