P. Michor

activity

19982008

most citedA Metric on Shape Space with Explicit Geodesics

49 citations · 69 across the 8 of their papers we have counts for

collaborators

Showing 2005Show all

3 papers · 1 filter

math.DG2005

The homotopy type of the space of degree 0 immersed plane curves

Hiroki Kodama, Peter W. Michor

The space of all immersed closed curves of rotation degree 0 in the plane modulo reparametrizations has the same homotopy groups as the circle times the 2-sphere.

math.AG2005

On polarizations in invariant theory

Mark Losik, Peter W. Michor, Vladimir L. Popov

Given a reductive algebraic group $G$ and a finite dimensional algebraic $G$ -module $V$ , we study how close is the algebra of $G$ -invariant polynomials on $V^{\oplus n}$ to the sub…

math.RT2005

Lifting smooth curves over invariants for representations of compact Lie groups, III

Andreas Kriegl, Mark Losik, Peter W. Michor +1

Any sufficiently often differentiable curve in the orbit space $V / G$ of a real finite-dimensional orthogonal representation $G \to O (V)$ of a finite group $G$ admits a differentiab…