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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Immersed self-shrinkers
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by Gregory Drugan and Stephen J. Kleene PDF
Trans. Amer. Math. Soc. 369 (2017), 7213-7250 Request permission

Abstract:

We construct infinitely many complete, immersed self-shrinkers with rotational symmetry for each of the following topological types: the sphere, the plane, the cylinder, and the torus.
References
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Additional Information
  • Gregory Drugan
  • Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
  • MR Author ID: 1097133
  • Email: drugan@math.washington.edu
  • Stephen J. Kleene
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 915857
  • Email: skleene@math.mit.edu
  • Received by editor(s): June 22, 2013
  • Received by editor(s) in revised form: November 12, 2015, December 28, 2015, and January 4, 2016
  • Published electronically: June 27, 2017
  • Additional Notes: The first author was partially supported by NSF RTG 0838212.
    The second author was partially supported by NSF DMS 1004646.
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 369 (2017), 7213-7250
  • MSC (2010): Primary 53C44, 53C42
  • DOI: https://doi.org/10.1090/tran/6907
  • MathSciNet review: 3683108