Co-Area, Liquid Crystals, and Minimal Surfaces

F. Almgren, W. Browder and E. Lieb
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F. Almgren: Princeton University, Department of Mathematics
W. Browder: Princeton University, Department of Mathematics
E. Lieb: Princeton University, Department of Mathematics

A chapter in Inequalities, 2002, pp 641-662 from Springer

Abstract: 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; Minimal Surface; Homotopy Class; Homology Class; South Pole (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-3-642-55925-9_51

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