10 citations · 20 across the 5 of their papers we have counts for
5 papers · 1 filter
Curvature of the Virasoro-Bott group
Peter W. Michor, Tudor Ratiu
We consider a natural Riemannian metric on the infinite dimensional manifold of all embeddings from a manifold into a Riemannian manifold, and derive its geodesic equation in the c…
n-ary Lie and Associative Algebras
Peter W. Michor, Alexandre M. Vinogradov
With the help of the multigraded Nijenhuis-- Richardson bracket and the multigraded Gerstenhaber bracket from [7] for every we define -ary associative algebras and thei…
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…
No slices on the space of generalized connections
Peter W. Michor, Hermann Schichl
On a fiber bundle without structure group the action of the gauge group (the group of all fiber respecting diffeomorphisms) on the space of (generalized) connections is shown not t…
Bounds on the multiplicity of eigenvalues for fixed membranes
Thomas Hoffman-Ostenhof, Peter W. Michor, Nikolai Nadirashvili
For a membrane in the plane the multiplicity of the -th eigenvalue is known to be not greater than . Here we prove that it is actually not greater than , for $k\ge 3…