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Transactions of the American Mathematical Society
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Transactions of the American Mathematical Society
Article . 1986 . Peer-reviewed
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Transactions of the American Mathematical Society
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A regularity theorem for minimizing hypersurfaces modulo 𝜈

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986 English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 297, pages 243-253 (issn: 0002-9947, eissn: 1088-6850, Copyright policy )
Authors: Frank Morgan;

doi: 10.1090/s0002-9947-1986-0849477-5

A regularity theorem for minimizing hypersurfaces modulo 𝜈

Abstract

It is proved that an ( n βˆ’ 1 ) (n - 1) -dimensional, area-minimizing flat chain modulo Ξ½ \nu in R n {{\mathbf {R}}^n} , with smooth extremal boundary of at most Ξ½ / 2 \nu /2 components, has an interior singular set of Hausdorff dimension at most n βˆ’ 8 n - 8 . Similar results hold for more general integrands.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
bronze