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Weighted Brianchon-Gram Decomposition

Published online by Cambridge University Press:  20 November 2018

J. Agapito
J. Agapito*
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal e-mail: agapito@math.ist.utl.pt
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Abstract

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We give in this note a weighted version of Brianchon and Gram's decomposition for a simple polytope. We can derive from this decomposition the weighted polar formula of Agapito and a weighted version of Brion's theorem, in a manner similar to Haase, where the unweighted case is worked out. This weighted version of Brianchon and Gram's decomposition is a direct consequence of the ordinary Brianchon–Gram formula.

Keywords

52B
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 2 , 01 June 2006 , pp. 161 - 169
Copyright
Copyright © Canadian Mathematical Society 2006

References

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