Generalized Newton transformation and its applications to extrinsic   geometry
  In this article we introduce a generalization of the Newton transformation to the case of a system of endomorphisms. We show that it can be used in the context of extrinsic geometry of foliations and distributions yielding new integral formulas containing generalized extrinsic curvatures. 
Krzysztof Andrzejewski, Wojciech Kozlowski and Kamil Niedzialomski
math.DG