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math.DG2002
Tensor fields and connections on holomorphic orbit spaces of finite groups
Andreas Kriegl, Mark Losik, Peter W. Michor
For a representation of a finite group on a complex vector space we determine when a holomorphic -tensor field on the principle stratum of the orbit space $V/…
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.DG1998
Lifting smooth curves over invariants for representations of compact Lie groups
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We show that one can lift locally real analytic curves from the orbit space of a compact Lie group representation, and that one can lift smooth curves even globally, but under an a…