11 citations · 47 across the 15 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.DG2016
A gap theorem for free boundary minimal surfaces in the three-ball
Lucas Ambrozio, Ivaldo Nunes
We show that, among free boundary minimal surfaces in the unit ball in the three-dimensional Euclidean space, the flat equatorial disk and the critical catenoid are characterised b…
math.DG2016★ 10 cited
Index estimates for free boundary minimal hypersurfaces
Lucas Ambrozio, Alessandro Carlotto, Ben Sharp
We show that the Morse index of a properly embedded free boundary minimal hypersurface in a strictly mean convex domain of the Euclidean space grows linearly with the dimension of…
math.DG2016★ 2 cited
Comparing the Morse index and the first Betti number of minimal hypersurfaces
Lucas Ambrozio, Alessandro Carlotto, Ben Sharp
By extending and generalising previous work by Ros and Savo, we describe a method to show that the Morse index of every closed minimal hypersurface on certain positively curved amb…