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2010 Non-negative Legendrian isotopy in $ST^*M$
Vladimir Chernov, Stefan Nemirovski
Geom. Topol. 14(1): 611-626 (2010). DOI: 10.2140/gt.2010.14.611

Abstract

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 STM 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 Cont˜0(STM).

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Vladimir Chernov. Stefan Nemirovski. "Non-negative Legendrian isotopy in $ST^*M$." Geom. Topol. 14 (1) 611 - 626, 2010. https://doi.org/10.2140/gt.2010.14.611

Information

Received: 23 May 2009; Revised: 19 October 2009; Accepted: 16 November 2009; Published: 2010
First available in Project Euclid: 20 December 2017

MathSciNet: MR2602847
zbMATH: 1194.53066
Digital Object Identifier: 10.2140/gt.2010.14.611

Subjects:
Primary: 53D35
Secondary: 53C50 , 83C99

Keywords: causality , Legendrian isotopy

Rights: Copyright © 2010 Mathematical Sciences Publishers

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