3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.DG2021★ 3 cited
Capillary surfaces: stability, index and curvature estimates
Han Hong, Artur B. Saturnino
In this paper we investigate the connection between the index and the geometry and topology of capillary surfaces. We prove an index estimate for compact capillary surfaces immerse…
math.DG2020
On the genus and area of constant mean curvature surfaces with bounded index
Artur B. Saturnino
Using the local picture of the degeneration of sequences of minimal surfaces developed by Chodosh, Ketover and Maximo we show that in any closed Riemannian 3-manifold , the…
math.DG2017
Focal radii of orbits
Claudio Gorodski, Artur B. Saturnino
We show that every effective action of a compact Lie group on a unit sphere admits an explicit orbit whose principal curvatures are bounded from above by .