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Parametric surfaces

I. Area

Published online by Cambridge University Press:  24 October 2008

E. R. Reifenberg
E. R. Reifenberg
Affiliation:
Trinity CollegeCambridge
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Extract

1. In this paper I consider various properties of the area of a surface including the relationship between Hausdorff measure and the Lebesgue area. The results here obtained will enable me, in a subsequent paper, to investigate the tangential properties of parametric surfaces. For simplicity of exposition I confine my attention to surfaces homoeomorphic to a disk, but the general case follows easily from cyclic element theory.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 4 , October 1951 , pp. 687 - 698
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

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