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On the topology of translating solitons of the mean curvature flow

Calculus of Variations and Partial Differential Equations volume 54, pages 2853–2882 (2015)Cite this article

Abstract

In the present article we obtain classification results and topological obstructions for the existence of translating solitons of the mean curvature flow in euclidean space.

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Acknowledgments

The authors would like to thank William H. Meeks III and Antonio Ros for fruitful discussions as well as Jesús Pérez for careful reading of the manuscript.

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Authors and Affiliations

  1. Departmento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain

    Francisco Martín

  2. Leibniz Universität Hannover, Institut für Differentialgeometrie and Riemann Center for Geometry and Physics, Welfengarten 1, 30167, Hannover, Germany

    Andreas Savas-Halilaj & Knut Smoczyk

Authors
  1. Francisco Martín
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  2. Andreas Savas-Halilaj
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  3. Knut Smoczyk
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Corresponding author

Correspondence to Knut Smoczyk.

Additional information

Communicated by J. Jost.

Francisco Martín is partially supported by MICINN-FEDER Grant No. MTM2011-22547. Andreas Savas-Halilaj is supported financially by the Grant \(E\varSigma \varPi A\): PE1-417.

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Martín, F., Savas-Halilaj, A. & Smoczyk, K. On the topology of translating solitons of the mean curvature flow. Calc. Var. 54, 2853–2882 (2015). https://doi.org/10.1007/s00526-015-0886-2

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  • DOI: https://doi.org/10.1007/s00526-015-0886-2

Mathematics Subject Classification

  • 53C44
  • 53C21
  • 53C42