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On the Measure of Sets of Parallel Linear Subspaces in Affine Space

Published online by Cambridge University Press:  20 November 2018

L. A. Santaló
L. A. Santaló*
Affiliation:
University of Buenos Aires
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Let En be the n-dimensional euclidean real space and the group of unimodular affine transformations which operates on it. It is known that the sets of linear h-spaces Lh (0 < h < n) have no invariant measure with respect to u (5). We wish now to consider sets of elements

1.1

composed by q parallel subspaces of dimensions h1, h2, … , hq which transform transitively by .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 313 - 319
Copyright
Copyright © Canadian Mathematical Society 1962

References

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