Peter W. Michor

activity

19922012

most citedAn overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach

230 citations · 391 across the 17 of their papers we have counts for

collaborators

Showing 1993Show all

2 papers · 1 filter

math.SG1993★ 35 cited

Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions

Dmitri V. Alekseevsky, Janusz Grabowski, Giuseppe Marmo +1

On a cotangent bundle $T\sp*G$ of a Lie group $G$ one can describe the standard Liouville form $θ$ and the symplectic form $d θ$ in terms of the right Maurer Cartan form and the le…

math.DG1993★ 1 cited

Differential geometry of $g$ -manifolds

Dimitri Alekseevsky, Peter W. Michor

An action of a Lie algebra $g$ on a manifold $M$ is just a Lie algebra homomorphism $ζ : g \to X (M)$ . We define orbits for such an action. In general the space of or…

Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions

Differential geometry of g-manifolds

Differential geometry of $g$ -manifolds