Aims

The course aims at developing an intuition for
geometrical objects that are more general than those met in the
course Geometry I.

Main themes

This course is a continuation of the course
Geometry I. Il will contain two parts : projective geometry and
riemannian geometry of surfaces in the three dimensional space.

Content and teaching methods

The course will comport two parts. The first part will
be a classical introduction to projective geometry : Pappus and
Desargues theorems, duality, perspectivities and birapport, link
with affine geometry. The second part will concern the metric
theory of surfaces in the three dimensional euclidean space :
different types of curvature, minimal surfaces and the
Gauss-Bonnet theorem.

Other credits in programs