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arXiv · 1812.03614

Lie groupoids and semi-local models of Singular Riemannian foliations

Marcos M. Alexandrino·Marcelo K. Inagaki·Mateus de Melo·Ivan Struchiner
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Abstract

We describe a local model for any Singular Riemannian Foliation in a neighbourhood of a closed saturated submanifold of a regular stratum. Moreover we construct a Lie groupoid which controls the transverse geometry of the linear approximation of the Singular Riemannian Foliation around these submanifolds. We also discuss the closure of this Lie groupoid and its Lie algebroid.

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Marcos M. Alexandrino, Marcelo K. Inagaki, Mateus de Melo, Ivan Struchiner. 2021-03-05. Lie groupoids and semi-local models of Singular Riemannian foliations. https://arxiv.org/abs/1812.03614

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