English

Some integral formulae on weighted manifolds

Differential Geometry 2020-07-30 v1

Abstract

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].

Keywords

Cite

@article{arxiv.2007.14935,
  title  = {Some integral formulae on weighted manifolds},
  author = {Mohammed Abdelmalek and Mohammed Benalili},
  journal= {arXiv preprint arXiv:2007.14935},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T17:29:55.450Z