2 papers
math.MG2026
Conic locus of inversive Poncelet circumcenter and two points of invariant circle power
Ronaldo Garcia, Shmuel Mark Helman, Dan Reznik
We prove that over a generic Poncelet triangle family, the locus of the circumcenter of an inversive triangle is a conic. Additionally, we prove an earlier conjecture: over generic…
math.DG2024
On -invariant constant mean curvature hypersurfaces with singularity
Hilário Alencar, Ronaldo Garcia, Gregório Silva Neto
We classify the -invariant constant mean curvature hypersurfaces with singularity at the origin, solving a conjecture of Wu-yi Hsiang.