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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Closed geodesics in Lorentzian surfaces
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by Stefan Suhr PDF
Trans. Amer. Math. Soc. 365 (2013), 1469-1486 Request permission

Abstract:

We show that every closed Lorentzian surface contains at least two closed geodesics. Explicit examples show the optimality of this claim. Refining this result we relate the least number of closed geodesics to the causal structure of the surface and the homotopy type of the Lorentzian metric.
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Additional Information
  • Stefan Suhr
  • Affiliation: Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany
  • MR Author ID: 958131
  • Email: stefan.suhr@mathematik.uni-hamburg.de
  • Received by editor(s): November 22, 2010
  • Received by editor(s) in revised form: June 27, 2011
  • Published electronically: July 11, 2012
  • © Copyright 2012 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 365 (2013), 1469-1486
  • MSC (2010): Primary 53C22, 53C50
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05691-1
  • MathSciNet review: 3003271