DIFFERENTIAL GEOMETRY
7 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA
OVERVIEW
Language: Italian
AIMS AND CONTENT
LEARNING OUTCOMES
Basic introduction to the concepts and methods of modern differential geometry.
SYLLABUS/CONTENT
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.
TEACHERS AND EXAM BOARD
Exam Board
CLAUDIO BARTOCCI (President)
MATTEO PENEGINI
ARVID PEREGO (President Substitute)
LESSONS
LESSONS START
The class will start according to the academic calendar.
EXAMS
Exam description
Oral.
FURTHER INFORMATION
Teaching style: In presence