7 papers · 1 filter
Morse index of Karcher saddle towers in
David Wiygul
For each integer Hermann Karcher identified a complete singly periodic minimal surface (unique up to similarity) with ends asymptotic to the union of plan…
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…
New low-genus desingularizations of three Clifford tori and related characterizations
Nikolaos Kapouleas, David Wiygul
For each nonnegative integer we construct in the round three-sphere a closed embedded minimal surface of genus which can be interpreted as a desingularization of the u…
Second-order mass estimates for static vacuum metrics with small Bartnik data
David Wiygul
Given on the -sphere Bartnik data (prescribed metric and mean curvature) that is a small perturbation of the corresponding data for the standard unit sphere in Euclidean space,…