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math.DG2001
Completely integrable curve flows on Adjoint orbits
Chuu-Lian Terng, Gudlaugur Thorbergsson
It is known that the Schrödinger flow on a complex Grassmann manifold is equivalent to the matrix non-linear Schrödinger equation and the Ferapontov flow on a principal Adjoint U(n…
math.DG2001
A global theory of flexes of periodic functions
Gudlaugur Thorbergsson, Masaaki Umehara
For a real valued periodic smooth function u on R, , one defines the osculating polynomial (of order 2n+1) at a point to be the unique trigonometric polynomi…
math.DG2001
Cycles of Bott-Samelson type for taut representations
Claudio Gorodski, Gudlaugur Thorbergsson
Bott and Samuelson constructed explicit cycles representing a basis of the Z_2-homology of the orbits of variationally complete representations of compact Lie groups. As a conseque…