4 papers · 1 filter
Topological control for min-max free boundary minimal surfaces
Giada Franz, Mario B. Schulz
We establish general bounds on the topology of free boundary minimal surfaces obtained via min-max methods in compact, three-dimensional ambient manifolds with mean convex boundary…
A new family of minimal surfaces of even genus in the three-dimensional sphere
Mario B. Schulz, David Wiygul
We discover a family of closed, embedded minimal surfaces in the three-dimensional round sphere which includes new examples with low genus. The existence proof relies on an equivar…
Disc stackings and their Morse index
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the…
Index growth not imputable to topology
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We employ partitioning methods, in the spirit of Montiel--Ros but here recast for general actions of compact Lie groups, to prove effective lower bounds on the Morse index of certa…