September 11, 2014
3:00 pm
-
4:00 pm
CH240
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2014-09-11 15:00:00
2014-09-11 16:00:00
Differential Geometry Seminar - Paolo Piccione
Speaker: Paolo Piccione (Universidade de São Paulo - Brazil) http://www.ime.usp.br/~piccione/ Title: Isometry group and geometry of compact stationary Lorentzian manifolds Abstract: I will discuss some aspects of the geometry of compact Lorentz manifolds that admit a somewhere timelike Killing vector field. We give a description of those models admitting a non-compact isometry group. If this group admits infinitely many connected components, then the manifold is the product (or an amalgamated product) of a flat Lorentzian torus and a compact Riemannian (or lightlike) manifold. As a corollary, I will show that a compact simply-connected stationary Lorentz manifold has compact isometry group. This is a joint work with A. Zeghib (Lyon), and it is published in Ergodic Theory and Dynamical Systems, Vol. 34, 2014.
CH240
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Date Range
2014-09-11 15:00:00
2014-09-11 16:00:00
Differential Geometry Seminar - Paolo Piccione
Speaker: Paolo Piccione (Universidade de São Paulo - Brazil) http://www.ime.usp.br/~piccione/ Title: Isometry group and geometry of compact stationary Lorentzian manifolds Abstract: I will discuss some aspects of the geometry of compact Lorentz manifolds that admit a somewhere timelike Killing vector field. We give a description of those models admitting a non-compact isometry group. If this group admits infinitely many connected components, then the manifold is the product (or an amalgamated product) of a flat Lorentzian torus and a compact Riemannian (or lightlike) manifold. As a corollary, I will show that a compact simply-connected stationary Lorentz manifold has compact isometry group. This is a joint work with A. Zeghib (Lyon), and it is published in Ergodic Theory and Dynamical Systems, Vol. 34, 2014.
CH240
America/New_York
public
Speaker: Paolo Piccione (Universidade de São Paulo - Brazil)
http://www.ime.usp.br/~piccione/
Title: Isometry group and geometry of compact stationary Lorentzian manifolds
Abstract: I will discuss some aspects of the geometry of compact Lorentz manifolds that admit a somewhere timelike Killing vector field. We give a description of those models admitting a non-compact isometry group. If this group admits infinitely many connected components, then the manifold is the product (or an amalgamated product) of a flat Lorentzian torus and a compact Riemannian (or lightlike) manifold. As a corollary, I will show that a compact simply-connected stationary Lorentz manifold has compact isometry group. This is a joint work with A. Zeghib (Lyon), and it is published in Ergodic Theory and Dynamical Systems, Vol. 34, 2014.
