9 citations · 10 across the 3 of their papers we have counts for
6 papers
Lifting smooth curves over invariants for representations of compact Lie groups. II
Andreas Kriegl, Mark Losik, Peter W. Michor +1
Any sufficiently often differentiable curve in the orbit space of a compact Lie group representation can be lifted to a once differentiable curve into the representation space.
Choosing roots of polynomials smoothly, II
Andreas Kriegl, Mark Losik, Peter W. Michor
We show that the roots of any smooth curve of polynomials with only real roots can be parametrized twice differentiably (but not better).
Invariant tensor fields and orbit varieties for finite algebraic transformation groups
Mark Losik, Peter W. Michor, Vladimir L. Popov
Let be a smooth algebraic variety endowed with an action of a finite group such that there exists the geometric quotient . We characterize rational tensor fie…
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/…
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…
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…