94 citations · 163 across the 25 of their papers we have counts for
5 papers · 1 filter
Bonnet pairs and isothermic surfaces
George Kamberov, Franz Pedit, Ulrich Pinkall
In this note we classify all Bonnet pairs on a simply connected domain. Our main intent was to apply what we call a quaternionic function theory to a concrete problem in differenti…
Curved flats in symmetric spaces
Dirk Ferus, Franz Pedit
In this paper we study maps (curved flats) into symmetric spaces which are tangent at each point to a flat of the symmetric space. Important examples of such maps arise from isomet…
Isometric Immersions of Space Forms and Soliton Theory
Dirk Ferus, Franz Pedit
This paper studies isometric immersions of space forms by means of a hierarchy of finite dimensional integrable systems in Lax form on loop algebras.
Curved Flats and Isothermic Surfaces
F. Burstall, U. Hertrich-Jeromin, F. Pedit +1
We show how pairs of isothermic surfaces are given by curved flats in a pseudo Riemannian symmetric space and vice versa. Calapso's fourth order partial differential equation is de…
Dressing orbits of harmonic maps
F. E. Burstall, F. Pedit
We study the harmonic map equations for maps of a Riemann surface into a Riemannian symmetric space of compact type from the point of view of soliton theory. There is a well-known…