ICTP Math Associates Seminar (Zoom Meeting) - Thursday 16 July, at 14:00 (Ivaldo Nunes)

[ICTP Math Section]

ICTP Math Associates Seminar


Thursday 16 July, at 14:00 (Central European Time)

Zoom Meeting


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Speaker: Ivaldo Nunes (Universidade Federal do Maranhão)
www.researchgate.net/profile/Ivaldo_Nunes2


Title: Characterization of free boundary CMC surfaces in the ball


Abstract: In the first part of this lecture, we talk about compact 
stable CMC surfaces with free boundary in compact convex domains of the 
Euclidean three-space. We prove that every compact stable CMC surface 
with free boundary in a convex domain with boundary geometry 
sufficiently close to the round two-sphere is topologically a disk or an 
annulus. This fact, together with a previous one due to Ros and 
Vergasta, implies a complete classification of these surfaces in the 
unit Euclidean three-ball. In the last part of the lecture, we deal with 
a characterization of the equatorial disk and the critical catenoid in 
the unit Euclidean three-ball based on a pinching condition involving 
its second fundamental form and support function. This last part is a 
joint work with Lucas Ambrozio.