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Displaying 161 – 180 of 188

Local rigidity of aspherical three-manifolds

Pierre Derbez (2012)

Annales de l’institut Fourier

In this paper we construct, for each aspherical oriented $3$ -manifold $M$ , a $2$ -dimensional class in the $l_{1}$ -homology of $M$ whose norm combined with the Gromov simplicial volume of $M$ gives a characterization of those nonzero degree maps from $M$ to $N$ which are homotopic to a covering map. As an application we characterize those degree one maps which are homotopic to a homeomorphism in term of isometries between the bounded cohomology groups of $M$ and $N$ .

Local rigidity of discrete groups acting on complex hyperbolic space.

W.M. Goldman, J.J. Millson (1987)

Inventiones mathematicae

Local structure of the zero-sets of differentiable mappings and application to bifurcation theory.

Andrzej Szulkin (1979)

Mathematica Scandinavica

Local subhomeotopy groups of bounded surfaces.

Sprows, David J. (2000)

International Journal of Mathematics and Mathematical Sciences

Local Surgery Obstructions and Space Forms.

Ian Hambleton, Ib Madsen (1986)

Mathematische Zeitschrift

Local Topological Properties of Differentiable Mappings. I.

Takuo Fukuda (1981/1982)

Inventiones mathematicae

Local Triviality of the Restriction Map for Embeddings.

Richard S. Palais (1960)

Commentarii mathematici Helvetici

Localization in equivariant bordisms.

Gabriel Katz (1993)

Mathematische Zeitschrift

Localization of basic characteristic classes

Dirk Töben (2014)

Annales de l’institut Fourier

We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold $M$ is complete, simply connected (or more generally if the foliation is a transversely orientable Killing foliation) and if the space of leaf closures is compact, then the basic characteristic numbers are determined by the infinitesimal dynamical behavior of the foliation at the union of its closed leaves. In fact, they can be computed with an Atiyah-Bott-Berline-Vergne-type...