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The angle criterion

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Summary

We complete the proof of the angle conjecture on when a pair of orientedm-planes is area-minimizing. The nonzero sum (oriented union)P 1+P 2 is area-minimizing if and only if the characterizing angles between them satisfy the inequality

$$\beta _m \leqq \beta _1 + ... + \beta _{m - 1} .$$

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA

    Gary Lawlor

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  1. Gary Lawlor
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Lawlor, G. The angle criterion. Invent Math 95, 437–446 (1989). https://doi.org/10.1007/BF01393905

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