3 papers
math.AP2026
The Newton's problem assuming non-constant density of the fluid
Rafael López
This paper investigates the Newton's problem of minimal resistance for a body moving through a fluid whose density decreases exponentially with altitude. We prove the local existen…
math.DG2025
Rigidity of solitons of the Gauss curvature flow in Euclidean space
Rafael López
In this paper, we consider -translating solitons and -shrinkers of the Gauss curvature flow in Euclidean space. We prove that planes and circular cylinders are the only $λ…
math.DG2024
On the stability of Killing cylinders in hyperbolic space
Antonio Bueno, Rafael López
In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem. In contrast with the Euclidean c…