Asian Journal of Mathematics
Volume 20 (2016)
Generalized Newton transformation and its applications to extrinsic geometry
Pages: 293 – 322
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.
Newton transformation, foliation, integral formulas, shape operator
2010 Mathematics Subject Classification
Primary 53C12. Secondary 53C65.