Font Size: a A A

Isometries of noncompact aspherical manifolds

Posted on:2014-08-29Degree:Ph.DType:Dissertation
University:The University of ChicagoCandidate:Avramidi, GrigoriFull Text:PDF
GTID:1452390008460438Subject:Mathematics
Abstract/Summary:
We investigate periodic diffeomorphisms of non-compact aspherical manifolds (and orbifolds) and describe a class of spaces that have no homotopically trivial periodic diffeomorphisms. Prominent examples are moduli spaces of curves and aspherical locally symmetric spaces. In the irreducible locally symmetric case, we show that no complete metric has more symmetry than the locally symmetric metric. In the moduli space case, we build on work of Farb and Weinberger and prove an analogue of Royden's theorem for complete finite volume metrics.
Keywords/Search Tags:Aspherical
Related items