32 citations · 86 across the 14 of their papers we have counts for
14 papers
Rank three geometry and positive curvature
Fuquan Fang, Karsten Grove, Gudlaugur Thorbergsson
An axiomatic characterization of buildings of type $\CC_3$ due to Tits is used to prove that any cohomogeneity two polar action of type $\CC_3$ on a positively curved simply connec…
Tits Geometry and Positive Curvature
Fuquan Fang, Karsten Grove, Gudlaugur Thorbergsson
There is a well known link between (maximal) polar representations and isotropy representations of symmetric spaces provided by Dadok. Moreover, the theory by Tits and Burns-Spatzi…
On the Funk transform on compact symmetric spaces
Sebastian Klein, Gudlaugur Thorbergsson, Laszlo Verhoczki
We prove that a function on an irreducible compact symmetric space M, which is not a sphere, is determined by its integrals over the shortest closed geodesics in M. We also prove a…
Curvature explosion in quotients and applications
Alexander Lytchak, Gudlaugur Thorbergsson
We prove that the quotient space of a variationally complete group action is a good Riemannian orbifold. The result is generalized to singular Riemannian foliations without horizon…
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…
Inflection points and double tangents on anti-convex curves in the real projective plane
Gudlaugur Thorbergsson, Masaaki Umehara
A simple closed curve in the real projective plane is called anti-convex if for each point on the curve, there exists a line which is transversal to the curve and mee…