Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cauchy and uniform temporal functions of globally hyperbolic cone fields
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by Patrick Bernard and Stefan Suhr
Proc. Amer. Math. Soc. 148 (2020), 4951-4966
DOI: https://doi.org/10.1090/proc/15106
Published electronically: June 30, 2020

Abstract:

We study a class of time functions called uniform temporal functions in the general context of globally hyperbolic closed cone fields. We prove some existence results for uniform temporal functions, and establish the density of uniform temporal functions in Cauchy causal functions.
References
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Bibliographic Information
  • Patrick Bernard
  • Affiliation: Université Paris-Dauphine, PSL Research University, École Normale Supérieure, DMA (UMR CNRS 8553) 45, rue d’Ulm 75230 Paris Cedex 05, France
  • MR Author ID: 609775
  • Email: patrick.bernard@ens.fr
  • Stefan Suhr
  • Affiliation: Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstraße 150 44780 Bochum, Germany
  • MR Author ID: 958131
  • Email: stefan.suhr@rub.de
  • Received by editor(s): May 14, 2019
  • Received by editor(s) in revised form: March 11, 2020, March 14, 2020, and March 23, 2020
  • Published electronically: June 30, 2020
  • Additional Notes: This research was supported by the SFB/TRR 191 “Symplectic Structures in Geometry, Algebra and Dynamics”, funded by the Deutsche Forschungsgemeinschaft.
  • Communicated by: Jia-Ping Wang
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 4951-4966
  • MSC (2010): Primary 53C50, 37B25
  • DOI: https://doi.org/10.1090/proc/15106
  • MathSciNet review: 4143406