Two notes on metric geometry

Author:
Ralph Alexander

Journal:
Proc. Amer. Math. Soc. **64** (1977), 317-320

MSC:
Primary 52A50

DOI:
https://doi.org/10.1090/S0002-9939-1977-0442831-5

MathSciNet review:
0442831

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Abstract: If , is a signed Borel measure on the unit ball in , it is shown that with no extremal measure existing. Also, a class of simplices which generalizes the notion of acute triangle is studied. The results are applied to prove inequalities for determinants of the Cayley-Menger type.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1977-0442831-5

Keywords:
Metric,
invariant measure,
inversion,
Cayley-Menger determinant

Article copyright:
© Copyright 1977
American Mathematical Society