English

Generalized Newton transformation and its applications to extrinsic geometry

Differential Geometry 2016-01-20 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1211.4754,
  title  = {Generalized Newton transformation and its applications to extrinsic geometry},
  author = {Krzysztof Andrzejewski and Wojciech Kozlowski and Kamil Niedzialomski},
  journal= {arXiv preprint arXiv:1211.4754},
  year   = {2016}
}

Comments

33 pages; formula (15) corrected with no implications on the results, to appear in Asian. J. Math