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Some integral formulae on weighted manifolds

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Abstract

Introducing a notion of the weighted k-mean 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 et al. (J Inst Math Jussieu 5(4):527–562, 2006).

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Authors and Affiliations

  1. Eole Supérieure de Management de Tlemcen, Tlemcen, Algeria

    Mohammed Abdelmalek

  2. Abou Bekr Belkaid University, Tlemcen, Algeria

    Mohammed Benalili

Authors
  1. Mohammed Abdelmalek
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  2. Mohammed Benalili
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Correspondence to Mohammed Abdelmalek.

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Abdelmalek, M., Benalili, M. Some integral formulae on weighted manifolds. J. Geom. 112, 30 (2021). https://doi.org/10.1007/s00022-021-00592-5

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  • DOI: https://doi.org/10.1007/s00022-021-00592-5

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