Geodesic
Integral formulae for foliations with singularities
Paweł Walczak1
1 Katedra Geometrii Wydział Matematyki i Informatyki Uniwersytet Łódzki Banacha 22 90-238 Łódź, Poland
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 141-148.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider an oriented closed Riemannian manifold $M$ equipped with a codimension-one foliation ${\mathcal F}$ defined outside a finite union $\varSigma $ of pairwise disjoint closed submanifolds of sufficiently large codimension. Using a technical lemma we show that several integral formulae known for foliations of closed manifolds hold also in this case under some conditions (integrability of some functions). In particular, the results of this article generalize some observations of Andrzejewski et al. (2014), Lużyńczyk and Walczak (2015) and Rovenski and Walczak (2012).
DOI : 10.4064/cm7105s-12-2016
Keywords: consider oriented closed riemannian manifold equipped codimension one foliation mathcal defined outside finite union varsigma pairwise disjoint closed submanifolds sufficiently large codimension using technical lemma several integral formulae known foliations closed manifolds under conditions integrability functions particular results article generalize observations andrzejewski czyk walczak rovenski walczak

Paweł Walczak 1

1 Katedra Geometrii Wydział Matematyki i Informatyki Uniwersytet Łódzki Banacha 22 90-238 Łódź, Poland 
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Paweł Walczak. Integral formulae for foliations with singularities. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 141-148. doi : 10.4064/cm7105s-12-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm7105s-12-2016/

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