Abstract. It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well
. It is shown that the identity component of the group of all homeomorphisms of a manifold with boun...
For any smooth compact manifold W with boundary of dimension of at least two we prove that the class...
For any smooth compact manifold W with boundary of dimension of at least two we prove that the class...
summary:The phenomenon of determining a geometric structure on a manifold by the group of its automo...
The main results of this dissertation concern the structure of the group of diffeomorphisms of a smo...
summary:The phenomenon of determining a geometric structure on a manifold by the group of its automo...
summary:The phenomenon of determining a geometric structure on a manifold by the group of its automo...
2 Diffeomorphism groups on open manifolds 3 3 Form preserving diffeomorphisms D r ω 8 4 The geometry...
summary:Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that th...
summary:Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that th...
Consider a connected manifold of dimension at least two and the group of compactly supported diffeom...
Consider a connected manifold of dimension at least two and the group of compactly supported diffeom...
Let Q be a smooth nowhere-zero w-form on a non-compact n-dimensional manifold Y. We study the homolo...
AbstractWe study the Ck-structure of the space of Riemannian metrics of bouded geometry on open mani...
the group of diffeomorphisms 3) of a compact «-manifold M, possibly with boundary. The group 3D has ...
. It is shown that the identity component of the group of all homeomorphisms of a manifold with boun...
For any smooth compact manifold W with boundary of dimension of at least two we prove that the class...
For any smooth compact manifold W with boundary of dimension of at least two we prove that the class...
summary:The phenomenon of determining a geometric structure on a manifold by the group of its automo...
The main results of this dissertation concern the structure of the group of diffeomorphisms of a smo...
summary:The phenomenon of determining a geometric structure on a manifold by the group of its automo...
summary:The phenomenon of determining a geometric structure on a manifold by the group of its automo...
2 Diffeomorphism groups on open manifolds 3 3 Form preserving diffeomorphisms D r ω 8 4 The geometry...
summary:Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that th...
summary:Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that th...
Consider a connected manifold of dimension at least two and the group of compactly supported diffeom...
Consider a connected manifold of dimension at least two and the group of compactly supported diffeom...
Let Q be a smooth nowhere-zero w-form on a non-compact n-dimensional manifold Y. We study the homolo...
AbstractWe study the Ck-structure of the space of Riemannian metrics of bouded geometry on open mani...
the group of diffeomorphisms 3) of a compact «-manifold M, possibly with boundary. The group 3D has ...
. It is shown that the identity component of the group of all homeomorphisms of a manifold with boun...
For any smooth compact manifold W with boundary of dimension of at least two we prove that the class...
For any smooth compact manifold W with boundary of dimension of at least two we prove that the class...