Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 218

Schlesinger Transformations for Bonnet Surfaces

U. Eitner

Bonnet surfaces, i.e. surfaces in Euclidean 3-space, which admits a one-parameter family of isometries preserving the mean curvature function, can be described in terms of solutions of some special Painlev`e equations. The goal of this work is to use the well-known Schlesinger transformations for solutions of Painlev`e VI equations to create new Bonnet surfaces from a known one.

---

Get a gzip-compressed PostScript copy of this preprint
preprint218.ps.gz (44 kB)

---