6 citations · 20 across the 10 of their papers we have counts for
11 papers
Polar and torus manifolds
Francisco C. Caramello, Dirk Toeben
We show that quasitoric manifolds can be equipped with an invariant metric for which the torus action is polar. More generally, we show that an infinitesimally polar action of a to…
Equivariant basic cohomology under deformations
Francisco C. Caramello, Dirk Toeben
There is a natural way to deform a Killing foliation with non-closed leaves, due to Ghys and Haefliger--Salem, into a closed foliation, i.e., a foliation whose leaves are all close…
Positively curved Killing foliations via deformations
Francisco C. Caramello, Dirk Toeben
We show that a compact manifold admitting a Killing foliation with positive transverse curvature fibers over finite quotients of spheres or weighted complex projective spaces, prov…
Riemannian foliations on contractible manifolds
Luis Florit, Oliver Goertsches, Alexander Lytchak +1
We prove that Riemannian foliations on complete contractible manifolds have a closed leaf, and that all leaves are closed if one closed leaf has a finitely generated fundamental gr…
Localization of Basic Characteristic Classes
Dirk Toeben
We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold M is simply connected (or more generally if th…
Equivariant Basic Cohomology of Riemannian Foliations
Oliver Goertsches, Dirk Toeben
The basic cohomology of a Riemannian foliation on a complete manifold with all leaves closed is the cohomology of the leaf space. In this paper we introduce various methods to comp…