10 citations · 20 across the 5 of their papers we have counts for
16 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.
Riemannian geometries on spaces of plane curves
Peter W. Michor, David Mumford
We study some Riemannian metrics on the space of regular smooth curves in the plane, viewed as the orbit space of maps from to the plane modulo the group of diffeomorphisms o…
Completing Lie algebra actions to Lie group actions
Franz W. Kamber, Peter W. Michor
For a finite dimensional Lie algebra $\g$ of vector fields on a manifold we show that can be completed to a -space in a unversal way, which however is neither Hausdorff…
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/…