2 citations · 10 across the 13 of their papers we have counts for
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-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…
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…
Locally continuously perfect groups of homeomorphisms
Tomasz Rybicki
The notion of a locally continuously perfect group is introduced and studied. This notion generalizes locally smoothly perfect groups introduced by Haller and Teichmann. Next, we p…
Example of an unbounded diffeomorphism group
Tomasz Rybicki
It is shown that the compactly supported identity component of the diffeomorphism group of the 2-dimensional punctured torus is an unbounded group. It follows that…