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Self-similar solutions and translating solutions

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Complex and Differential Geometry

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 8))

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Abstract

In this note, I provide some detailed computation of constructing translating solutions from self-similar solutions for Lagrangian mean curvature flow discussed in [6] and explore the related geometric meanings. This method works for all mean curvature flows and has great potential to find other new translating solutions.

Mathematics Subject Classification (2010) 53C44.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Taida Institute of Mathematical Sciences, National Taiwan University, Taipei, 10617, Taiwan

    Yng-Ing Lee

  2. National Center for Theoretical Sciences, Taipei Office, Hsinchu, Taiwan

    Yng-Ing Lee

Authors
  1. Yng-Ing Lee
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Corresponding author

Correspondence to Yng-Ing Lee .

Editor information

Editors and Affiliations

  1. , Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Wolfgang Ebeling

  2. FB Mathematik, Inst. Mathematik, Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Klaus Hulek

  3. , Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Knut Smoczyk

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Lee, YI. (2011). Self-similar solutions and translating solutions. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_12

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