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A sufficient criterion for a cone to be area-minimizing

About this Title

Gary R. Lawlor

Publication: Memoirs of the American Mathematical Society
Publication Year: 1991; Volume 91, Number 446
ISBNs: 978-0-8218-2512-9 (print); 978-1-4704-0872-5 (online)
DOI: https://doi.org/10.1090/memo/0446
MathSciNet review: 1073951
MSC: Primary 49Q05; Secondary 49Q15, 53C42, 58E15

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Table of Contents

Chapters

  • Introduction
  • 1. A minimization test for cones
  • 2. Calibrations
  • 3. The differential equation
  • 4. Cones for which the criterion is necessary as well as sufficient
  • 5. Examples of area-minimizing cones
  • 6. Some perturbation results
  • 7. Open questions
  • Appendix