The concept of varifold

Ulrich Menne

doi:10.1090/noti1589

The concept of varifold

Ulrich Menne^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We survey-by means of 20 examples-the concept of varifold, as generalised submanifold, with emphasis on regularity of integral varifolds with mean curvature, while keeping prerequisites to a minimum. Integral varifolds are the natural language for studying the variational theory of the area isntegrand if one considers, for instance, existence or regularity of stationary (or stable) surfaces of dimension at least three or the limiting behaviour of sequences of smooth submanifolds under area and mean curvature bounds.

Original language	English
Pages (from-to)	1148-1152
Number of pages	5
Journal	Notices of the American Mathematical Society
Volume	64
Issue number	10
DOIs	https://doi.org/10.1090/noti1589
Publication status	Published - 2017 Nov
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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The concept of varifold

Abstract

ASJC Scopus subject areas

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