32 citations · 39 across the 2 of their papers we have counts for
2 papers
math.DG2008★ 7 cited
Generators for Rational Loop Groups and Geometric Applications
Neil Donaldson, Daniel Fox, Oliver Goertsches
Uhlenbeck proved that a set of simple elements generates the group of rational loops in GL(n,C) that satisfy the U(n)-reality condition. For an arbitrary complex reductive group, a…
math.DG2007★ 32 cited
On the Geometry of the Orbits of Hermann Actions
Oliver Goertsches, Gudlaugur Thorbergsson
We investigate the submanifold geometry of the orbits of Hermann actions on Riemannian symmetric spaces. After proving that the curvature and shape operators of these orbits commut…