2 citations · 10 across the 13 of their papers we have counts for
16 papers
The uniform perfectness of diffeomorphism groups of open manifolds
Kazuhiko Fukui, Tomasz Rybicki, Tatsuhiko Yagasaki
In this paper we study the uniform perfectness, boundedness and uniform simplicity of diffeomorphism groups of compact manifolds with boundary and open manifolds and obtain some up…
-transitivity of bisection groups of a Lie groupoid
Tomasz Rybicki
The notion of -transitivity can be carried over from groups of diffeomorphisms on a manifold to groups of bisections of a Lie groupoid over . The main theorem states that…
On the existence of a Hofer type metric for Poisson manifolds
Tomasz Rybicki
An analogue of the Hofer metric on the Hamiltonian group of a Poisson manifold can be defined but there is the problem of its non-degeneracy. First w…
Hofer metric from the contact point of view
Tomasz Rybicki
Given a manifold endowed with a contact 1-form , a bi-invariant pseudo-metric is introduced on , the compactly supported identity component of the gro…
Isomorphisms between groups of equivariant homeomorphisms of -manifolds with one orbit type
Matatyahu Rubin, Tomasz Rybicki
Given a compact Lie group , a reconstruction theorem for free -manifolds is proved. As a by-product reconstruction results for locally trivial bundles are presented. Next, th…
Bi-invariant metric on the strict contactomorphism group
Tomasz Rybicki
A right-invariant metric on the compactly supported identity component of the group of contactomorphisms of an arbitrary contact manifold is introduced…