3 papers
math.DG2025
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…
math.DG2024
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…
math.AP2018
Unconditional existence of conformally hyperbolic Yamabe flows
Mario B. Schulz
We prove global existence of instantaneously complete Yamabe flows on hyperbolic space of arbitrary dimension starting from any smooth, conformally hyperbolic initial metr…