Calculus of Variations and Geometric Measure Theory

C. Mantegazza

Curvature Varifolds with Boundary

created on 01 Apr 1996
modified by mantegaz on 09 Nov 2026

[BibTeX]

Published Paper
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Inserted: 1 apr 1996
Last Updated: 9 nov 2026

Journal: J. Diff. Geom.
Number: 43
Pages: 807-843
Year: 1996

Abstract:

We introduce a new class of nonoriented sets in $\mathbb R^n$ endowed with a generalized notion of second fundamental form and boundary, proving several compactness and structure properties. Our work extends the definition and some results of J. E. Hutchinson and can be applied to variational problems involving surfaces with boundary.


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