Polar Foliations

Marcos M. Alexandrino and Renato G. Bettiol
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Marcos M. Alexandrino: Instituto de Matemática e Estatística Universidade de São Paulo, Departamento de Matemática
Renato G. Bettiol: University of Pennsylvania, Department of Mathematics

Chapter Chapter 5 in Lie Groups and Geometric Aspects of Isometric Actions, 2015, pp 109-137 from Springer

Abstract: Abstract In this chapter, we give a survey on some results from the theory of polar foliations, also called singular Riemannian foliations with sections. This theory is a generalization of the classical theory of adjoint actions (presented in Chap. 4), and several results in this chapter are extensions of its results. Since our main goal is to provide a flavor of this new field, to not lose sight of the big picture, we only give some sketches of proofs without going into technical details.

Keywords: Leaf Polarity; Singular Riemannian Foliation; Alexandrino; Lytchak; Isoparametric Foliations (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16613-1_5

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DOI: 10.1007/978-3-319-16613-1_5

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