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Transactions of the American Mathematical Society

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Immersed self-shrinkers


Authors: Gregory Drugan and Stephen J. Kleene
Journal: Trans. Amer. Math. Soc. 369 (2017), 7213-7250
MSC (2010): Primary 53C44, 53C42
DOI: https://doi.org/10.1090/tran/6907
Published electronically: June 27, 2017
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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.


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Additional Information

Gregory Drugan
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
Email: drugan@math.washington.edu

Stephen J. Kleene
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: skleene@math.mit.edu

DOI: https://doi.org/10.1090/tran/6907
Keywords: Mean curvature flow, self-shrinker
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.
Article copyright: © Copyright 2017 American Mathematical Society

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