A Slice Theorem for singular Riemannian foliations, with applications

Ricardo Mendes; Marco Radeschi

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arXiv · 1511.06174

A Slice Theorem for singular Riemannian foliations, with applications

Ricardo Mendes·Marco Radeschi

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Abstract

We prove a Slice Theorem around closed leaves in a singular Riemannian foliation, and we use it to study the $C^\infty$-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.

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Ricardo Mendes, Marco Radeschi. 2015-11-19. A Slice Theorem for singular Riemannian foliations, with applications. https://arxiv.org/abs/1511.06174

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