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Notes on Translating Solitons for Mean Curvature Flow

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Minimal Surfaces: Integrable Systems and Visualisation (m:iv 2017, m:iv 2018, m:iv 2018, m:iv 2019)

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Abstract

These notes provide an introduction to translating solitons for the mean curvature flow in \(\mathbf {R}^3\). In particular, we describe a full classification of the translators that are complete graphs over domains in \(\mathbf {R}^2\).

F. Martín was partially supported by the MINECO/FEDER grant MTM2017-89677-P and by the Leverhulme Trust grant IN-2016-019.

B. White was partially supported by grants from the Simons Foundation (#396369) and from the National Science Foundation (DMS 1404282, DMS 1711293).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    David Hoffman & Brian White

  2. Department of Mathematics, E. T. H. Zürich, Rämistrasse 101, 8092, Zürich, Switzerland

    Tom Ilmanen

  3. Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain

    Francisco Martín

Authors
  1. David Hoffman
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  2. Tom Ilmanen
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  3. Francisco Martín
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  4. Brian White
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Corresponding author

Correspondence to David Hoffman .

Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Technical University Munich, Garching, Germany

    Tim Hoffmann

  2. School of Mathematical Sciences, University College Cork, Cork, Ireland

    Martin Kilian

  3. School of Mathematics & Actuarial Science, University of Leicester, Leicester, UK

    Katrin Leschke

  4. Department of Geometry & Topology, University of Granada, Granada, Spain

    Francisco Martin

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Hoffman, D., Ilmanen, T., Martín, F., White, B. (2021). Notes on Translating Solitons for Mean Curvature Flow. In: Hoffmann, T., Kilian, M., Leschke, K., Martin, F. (eds) Minimal Surfaces: Integrable Systems and Visualisation. m:iv m:iv m:iv m:iv 2017 2018 2018 2019. Springer Proceedings in Mathematics & Statistics, vol 349. Springer, Cham. https://doi.org/10.1007/978-3-030-68541-6_9

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