16 citations · 46 across the 8 of their papers we have counts for
4 papers · 2 filters
A loop group formulation for constant curvature submanifolds of pseudo-Euclidean space
David Brander, Wayne Rossman
We give a loop group formulation for the problem of isometric immersions with flat normal bundle of a simply connected pseudo-Riemannian manifold , of dimension , con…
Curved Flats, Pluriharmonic Maps and Constant Curvature Immersions into Pseudo-Riemannian Space Forms
David Brander
We study two aspects of the loop group formulation for isometric immersions with flat normal bundle of space forms. The first aspect is to examine the loop group maps along differe…
Generalized DPW method and an application to isometric immersions of space forms
David Brander, Josef Dorfmeister
Let be a complex Lie group and denote the group of maps from the unit circle into , of a suitable class. A differentiable map from a manifold in…
-symmetric AKS systems and flat immersions in spheres
David Brander
We define a large class of integrable nonlinear PDE's, \emph{-symmetric AKS systems}, whose solutions evolve on finite dimensional subalgebras of loop algebras, and linearize on…