Artur B. Saturnino

collaborators

2 papers

math.DG2021

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.DG2017

Focal radii of orbits

Claudio Gorodski, Artur B. Saturnino

We show that every effective action of a compact Lie group $K$ on a unit sphere $S^{n}$ admits an explicit orbit whose principal curvatures are bounded from above by $414$ .