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Co-area, liquid crystals, and minimal surfaces

Part of the Lecture Notes in Mathematics book series (2803,volume 1306)

Abstract

Oriented n area minimizing surfaces (integral currents) in M m+n can be approximated by level sets (slices) of nearly m-energy minimizing mappings M m+n → Sm with essential but controlled discontinuities. This gives new perspective on multiplicity, regularity, and computation questions in least area surface theory.

Keywords

  • Liquid Crystal
  • Homotopy Class
  • Homology Class
  • Stereographic Projection
  • Integral Current

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This research was supported in part by grants from the National Science Foundation

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© 1988 Springer-Verlag

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Almgren, F., Browder, W., Lieb, E.H. (1988). Co-area, liquid crystals, and minimal surfaces. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082921

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  • DOI: https://doi.org/10.1007/BFb0082921

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19097-4

  • Online ISBN: 978-3-540-39107-4

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