Showing papers by "Jurgen Berndt published in 2011"
Posted Content•
TL;DR: In this paper, the authors classify the polar actions on the complex hyperbolic plane up to orbit equivalence, including trivial and transitive polar actions, and five polar actions of cohomogeneity one and four polar actions with cohomogeneous two.
Abstract: We classify the polar actions on the complex hyperbolic plane up to orbit equivalence. Apart from the trivial and transitive polar actions, there are five polar actions of cohomogeneity one and four polar actions of cohomogeneity two.
11 citations
Posted Content•
TL;DR: In this article, it was shown that up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space.
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliations.
9 citations