Gen 142024


Prof. Gianluca Bande
Dipartimento di Matematica e Informatica
Università degli Studi di Cagliari


The course is an introduction to the Theory of Foliations. Basic knowledge of Differential Geometry is required and the basics of Fundamental Group.


– Definition(s) and examples of Foliations. Dynamical systems. Frobenius’ Theorem.
– Holonomy of a leaf and the Reeb Stability Theorem. Basic and foliated Cohomology. Godbillion-Vey class for a codimension 1 foliation on a 3-manifold.
– The Reeb foliation: definition and a 3D-printer model. Novikov and Likorisch Theorem.


The course spans over 3 lectures of 2 hours each (6 hours total). The lectures will be given on February 5, February 12, February 15 – 2024 at 4:30 p.m. in Room B of the Department of Mathematics and Computer Science.


The final exam consists in a presentation.


1. C. Camacho and A. Lins Neto, Geometric theory of foliations, Birkhäuser, 1985.
A. Candel; L. Conlon, Foliations I, Grad. Stud. Math. 23, American Mathematical Society, Providence, 2000.
P. Tondeur, Geometry of Foliations, Monogr. Math 90, Birkhäuser Verlag, Basel, 1997.

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