Geometry II
[MAT1241]
[45h + 15h] 6 credits
This course is taught in the 2d semester.
Teacher(s): Pierre Bieliavsky
Language: French
Level: First
Aims
geometrical objects that are more general than those met in the
course Geometry I.
Main themes
Geometry I. Il will contain two parts : projective geometry and
riemannian geometry of surfaces in the three dimensional space.
Content and teaching methods
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.