2009/05/07 by Vladimir Chernov, Stefan Nemirovski · 1 citation
Mathematics · Physics and Astronomy · #math.SG #gr-qc #math-ph #math.MP
paper · pdf · doi:10.2140/gt.2010.14.611
published as Geom.Topol.14:611-626,2010 · 10 pages
arxiv created 2009/05/07 · arxiv updated 2014/11/18
It is shown that if the universal cover of a manifold M is an open manifold, then two different fibres of the spherical cotangent bundle ST^*M cannot be connected by a non-negative Legendrian isotopy. This result is applied to the study of causality in globally hyperbolic spacetimes. It is also used to strengthen a result of Eliashberg, Kim, and Polterovich on the existence of a partial order on \widetildeCont0 (ST^*M).