The basic concepts of differential geometry will be presented and illustrated by examples and applications.
Aims
The course is an introduction to the basic concepts of differential geometry : manifolds, tangent spaces, vector fields, differentiable maps. The ability of the student to use the concepts and to visualize geometrically the situations will be important.
Other information
Supplemental courses Géométrie et topologie différentielles II
Evaluation Written exam : Exercises and problems