Abstract
In the past ten years the theory of calibrations has shed much light on the behavior of m-dimensional area-minimizing submanifolds of n-dimensional spaces. (Area-minimizing means that no other submanifold with the same boundary, or alternatively in the same homology class, has less m-dimensional area.) Area-minimizing submanifolds often have interesting singularities. An early obstacle to understanding was the difficulty of establishing that any singular example actually was area-minimizing. Calibrations produce a rich variety of such examples, as indicated in §3.
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Morgan, F. (1990). Calibrations and New Singularities in Area-minimizing Surfaces: A Survey. In: Berestycki, H., Coron, JM., Ekeland, I. (eds) Variational Methods. Progress in Nonlinear Differential Equations and Their Applications, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1080-9_23
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DOI: https://doi.org/10.1007/978-1-4757-1080-9_23
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