46 citations · 235 across the 17 of their papers we have counts for
19 papers
Loop Weierstrass Representation
Thomas Raujouan, Nick Schmitt, Jonas Ziefle
We introduce the Loop Weierstrass Representation for minimal surfaces in Euclidean space and constant mean curvature 1 surfaces in hyperbolic space by applying integral system meth…
Constant mean curvature surfaces based on fundamental quadrilaterals
Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt
We describe the construction of CMC surfaces with symmetries in and using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the spac…
Minimal n-Noids in hyperbolic and anti-de Sitter 3-space
Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt
We construct minimal surfaces in hyperbolic and anti-de Sitter 3-space with the topology of a -punctured sphere by loop group factorization methods. The end behavior of the surf…
Constant Mean Curvature Trinoids with one Irregular End
Martin Kilian, Eduardo Mota, Nicholas Schmitt
We construct a new five parameter family of constant mean curvature trinoids with two asymptotically Delaunay ends and one irregular end.
The spectral curve theory for symmetric CMC surfaces
Lynn Heller, Sebastian Heller, Nicholas Schmitt
Constant mean curvature surfaces in can be studied via their associated family of flat connections. In the case of tori this approach has led to a deep understanding of the m…
Exploring the space of compact symmetric CMC surfaces
Lynn Heller, Sebastian Heller, Nicholas Schmitt
We map out the moduli space of Lawson symmetric constant mean curvature surfaces in the 3-sphere of genus by flowing numerically from Delaunay tori with even lobe count via t…