Conservation of module and the product of modules of foliations
Tom 124 / 2020
Annales Polonici Mathematici 124 (2020), 161-172
MSC: Primary 58C25; Secondary 58C35, 30C35, 53C12.
DOI: 10.4064/ap190101-10-6
Opublikowany online: 21 February 2020
Streszczenie
We consider a diffeomorphism $G$ that acts between two Riemannian manifolds and examine the link between the structure of its Jacobian and the question whether $G$ conserves the module of a single foliation or the product of the modules of a system of foliations. We investigate sufficient conditions for the product of the modules of more than two foliations to be equal to 1 (which generalize the sufficient conditions regarding a pair of foliations, formulated by other authors). We show that these conditions emerge as a consequence of the sufficient conditions for the conservation of the product of modules.
