A Slice Theorem for singular Riemannian foliations, with applications

2015/11/19 by Mendes, Ricardo, Radeschi, Marco · 1 citation
#53C12 #58C25 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.06174

Abstract

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

Cited by

• On the Rational Hyperbolicity problem
• Transverse sphere theorems for Riemannian foliations

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