On the Affine Surface Area

It is shown that at least two expressions that extend the definition of the affine surface area to all convex bodies coincide.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1993, Vol.118 (4), p.1213-1218
Main Author: Schütt, Carsten
Format: Article
Language:English
Subjects:
Convex and discrete geometry
Curvature
Ellipsoids
Exact sciences and technology
Geometry
Hausdorff measures
Mathematics
Sciences and techniques of general use
Surface areas
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Description
Summary:It is shown that at least two expressions that extend the definition of the affine surface area to all convex bodies coincide.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1993-1181173-9