Geometric objects of submanifolds of a space with fundamental Lie pseudogroup
Geometric orbifolds.
An orbifold is a topological space which ?locally looks like? the orbit space of a properly discontinuous group action on a manifold. After a brief review of basic concepts, we consider the special case 3-dimensional orbifolds of the form GammaM, where M is a simply-connected 3-dimensional homogeneous space corresponding to one of Thurston?s eight geometries, and where Gamma < Isom(M) acts properly discontinuously. A general description of these geometric orbifolds is given and the closed...
Geometric presentations of classical knot groups.
Geometric proof of the easy part of the Hopf invariant one theorem
Geometric Structures in Bundlesof Associative Algebras
The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.
Geometric structures on manifolds and holonomy-invariant metrics.
Geometric structures on toroidal maps and elliptic curves
Geometric subgroups of surface braid groups
Let be a surface, let be a subsurface, and let be two positive integers. The inclusion of in gives rise to a homomorphism from the braid group with strings on to the braid group with strings on . We first determine necessary and sufficient conditions that this homomorphism is injective, and we characterize the commensurator, the normalizer and the centralizer of in . Then we calculate the commensurator, the normalizer and the centralizer of in for large surface braid...
Geometric topology of stratified spaces.
Geometric types of twisted knots
Let be a knot in the -sphere , and a disk in meeting transversely in the interior. For non-triviality we assume that over all isotopies of in . Let () be a knot obtained from by twistings along the disk . If the original knot is unknotted in , we call a twisted knot. We describe for which pair and an integer , the twisted knot is a torus knot, a satellite knot or a hyperbolic knot.
Geometrical and topological properties of bumps and starlike bodies in Banach spaces.
Geometrical arguments concerning two-sided submanifolds, flat submanifolds and pinched bicollars
Geometrical directions and ends of a manifold, points of accumulation of a direction of a group in the hyperbolic space
Geometrical objects on subbundles.
Geometrically Defined Transfers, Comparisons.
Geometrically fibred two-knots.
Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem.
Geometrie Classification of Simplicial Structures on Topologieal Manifolds.
Géométrie des tissus
Géométrie non commutative, opérateur de signature transverse et algèbres de Hopf