2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.DG2008
Grassmann Geometries and Integrable Systems
David Brander
We describe how the loop group maps corresponding to special submanifolds associated to integrable systems may be thought of as certain Grassmann submanifolds of infinite dimension…
math.DG2007★ 2 cited
Results related to generalizations of Hilbert's non-immersibility theorem for the hyperbolic plane
David Brander
We discuss generalizations of the well-known theorem of Hilbert that there is no complete isometric immersion of the hyperbolic plane into Euclidean 3-space. We show that this prob…
math.DG2007★ 2 cited
Grassmann geometries in infinite dimensional homogeneous spaces and an application to reflective submanifolds
David Brander
Let U be a real form of a complex semisimple Lie group, and tau, sigma, a pair of commuting involutions on U. This data corresponds to a reflective submanifold of a symmetric space…