Weighted Brianchon-Gram Decomposition

Canadian mathematical bulletin

关键词: Mean curvature;    Ricci curvature;   

DOI  :  10.4153/CMB-2006-017-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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

【 授权许可】

Unknown