A Slice Theorem for singular Riemannian foliations, with applications
Differential Geometry
2018-02-16 v2
Abstract
We prove a Slice Theorem around closed leaves in a singular Riemannian foliation, and we use it to study the -algebra of smooth basic functions, generalizing to the inhomogeneous setting a number of results by G.~Schwarz. In particular, in the infinitesimal case we show that this algebra is generated by a finite number of polynomials.
Cite
@article{arxiv.1511.06174,
title = {A Slice Theorem for singular Riemannian foliations, with applications},
author = {Ricardo Mendes and Marco Radeschi},
journal= {arXiv preprint arXiv:1511.06174},
year = {2018}
}
Comments
18 pages, 1 figure. Manuscript modified to put an emphasis on the slice theorem. Title changed accordingly. Preliminary section on singular Riemannian foliations added. Proof of Theorem A greatly simpllified. To appear in Transactions of the AMS