Calculus of Variations and Geometric Measure Theory

C. Mantegazza

Curvature Varifolds with Boundary

created on 01 Apr 1996
modified by root on 03 Jun 2013


Published Paper

Inserted: 1 apr 1996
Last Updated: 3 jun 2013

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


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.