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Oriented and nonoriented curvature varifolds

Published online by Cambridge University Press:  14 November 2011

S. Delladio  and
G. Scianna
S. Delladio
Affiliation:
Dipartimento di Matematica, Universitá di Trento, 38050 Povo, Italy
G. Scianna
Affiliation:
Dipartimento di Matematica, Universitá di Siena, 53100 Siena, Italy
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Abstract

In a recent work, G. Anzellotti and the present authors introduced a notion of variation for functions defined over a rectifiable current. In this paper, we give a definition of a curvature varifold slightly different from that of Hutchinson (equivalent in the nonoriented case) and we study the variation properties, in the sense of [2], of the normal to a rectifiable current when the associated varifold is a curvature varifold.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 63 - 83
Copyright
Copyright © Royal Society of Edinburgh 1995

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References

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