3 papers
math.DG2026
Classification of invariant Gauss curvature solitons in the Heisenberg space $\nil$
Rafael Belli, Rafael López
In this paper, we classify all solitons of the Gauss curvature flow in the three-dimensional Heisenberg group that are invariant under a one-parameter group of amb…
math.DG2026
Gauss curvature solitons on invariant surfaces in the homogeneous space Sol
Rafael Belli, Rafael López
We classify invariant surfaces in the 3-dimensional solvable Lie group $\sol$ that act as solitons for the Gauss curvature flow. We consider solitons associated with the canonical…
math.DG2026
Homothetical surfaces with constant mean curvature in hyperbolic space
Rafael Belli, Rafael López
We classify all homothetical surfaces with constant mean curvature in the hyperbolic space . Using the upper half-space model with standard coordinates ,…