53 citations · 135 across the 23 of their papers we have counts for
4 papers · 1 filter
Min-max embedded geodesic lines in asymptotically conical surfaces
Alessandro Carlotto, Camillo De Lellis
We employ min-max methods to construct uncountably many, geometrically distinct, properly embedded geodesic lines in any asymptotically conical surface of non-negative scalar curva…
A non-existence result for minimal catenoids in asymptotically flat spaces
Alessandro Carlotto, Andrea Mondino
We show that asymptotically Schwarzschildean 3-manifolds cannot contain minimal surfaces obtained by perturbative deformations of a Euclidean catenoid, no matter how small the ADM…
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…
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…