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Non-negative Legendrian
isotopy in $ST^*M$
Vladimir Chernov and Stefan Nemirovski |
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Geometry & Topology 14 (2010) 611–626
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Abstract |
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It is shown that if the universal cover of a manifold is an open manifold, then two different fibres of the spherical cotangent bundle 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 . |
Keywords
Legendrian isotopy, causality
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Mathematical Subject Classification 2000
Primary: 53D35
Secondary: 53C50, 83C99
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References |
Publication
Received: 23 May 2009
Revised: 19 October 2009
Accepted: 16 November 2009
Published: 15 February 2010
Proposed: Leonid Polterovich
Seconded: Yasha Eliashberg and Danny Calegari
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Authors |
| Vladimir Chernov | |
| Department of Mathematics Dartmouth College 6188 Kemeny Hall, Hanover, NH 03755 USA |
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| Stefan Nemirovski | |
| Steklov Mathematical Institute Gubkina 8 119991 Moscow Russia |
Mathematisches Institut Ruhr-Universität Bochum Universitätsstraße 150 44780 Bochum Germany |
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