3 papers
math.DG2001
The Riemannian geometry of orbit spaces. The metric, geodesics, and integrable systems
Dmitry Alekseevsky, Andreas Kriegl, Mark Losik +1
We investigate the rudiments of Riemannian geometry on orbit spaces for isometric proper actions of Lie groups on Riemannian manifolds. Minimal geodesic arcs are length minim…
math.DG2000
Compact homogeneous CR manifolds
Dmitry V. Alekseevsky, Andrea F. Spiro
We classify all compact simply connected homogeneous CR manifolds of codimension one and with non-degenerate Levi form up to CR equivalence. The classification is based on our…
math.DG1999
Invariant CR Structures on Compact Homogeneous Manifolds
Dmitry V. Alekseevsky, Andrea F. Spiro
An explicit classification of simply connected compact homogeneous CR manifolds G/L of codimension one, with non-degenerate Levi form, is given. There are three classes of such man…