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A Coarea Formula for Multiple Geometric Integrals

✍ Scribed by K. Kiêu

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
596 KB
Volume
156
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The coarea formula by Federer (1969) is a general transformation formula for simple geometric integrals. In the present paper, we derive a coarea formula for multiple geometric integrals. The construction of this new formula is based on the use of the simple coarea formula on a product of Hausdorff rectifiable sets. Also, this coarea formula for multiple integrals is extended, so it can be applied to the locally Hausdorff rectifiable sets described in Zähle (1982). An application of the formula resulting in new Blaschke‐Petkantschin formulae is presented in Jensen and Kiêu (1991).

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