Abstract
In this work, using the weighted symmetric functions sigma _{k}^{infty } and the weighted Newton transformations T_{k}^{infty } introduced by Case (Alias et al. Proc Edinb Math Soc 46(02):465–488, 2003), we derive some generalized integral formulae for close hypersurfaces in weighted manifolds. We also give some examples and applications of these formulae.
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