Basic introduction to the concepts and methods of modern differential geometry.
Topological, differentiable and riemannian manifolds. Differentiable maps. Tangent and cotangent spaces. Vector bundles. Orientable manifolds. Vector fields and their flows. Riemannian metrics. Curves and surfaces in tridimentional euclidean space: Frenet formulas, first and second fundamental forms, curvature. Surfaces of constant curvature.
CLAUDIO BARTOCCI (President)
ARVID PEREGO (President Substitute)
The class will start according to the academic calendar.
Teaching style: In presence