Some integral formulae on weighted manifolds

Mohammed Abdelmalek, Mohammed Benalili

备注：: 15 pages

英文摘要：

Introducing a notion of the weighted mean sigma-r curvature and using the weighted Newton transformations we derive in this paper some integral formulae on weighted manifolds. These formulae generalize the flux formula and some of its examples of applications obtained by Alias, de Lira and Malacarne [3].

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