CODE 61467 ACADEMIC YEAR 2020/2021 CREDITS 7 cfu anno 3 MATEMATICA 8760 (L-35) - GENOVA 7 cfu anno 1 MATEMATICA 9011 (LM-40) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 2° Semester TEACHING MATERIALS AULAWEB 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 CLAUDIO BARTOCCI Exam Board CLAUDIO BARTOCCI (President) MATTEO PENEGINI ARVID PEREGO (President Substitute) LESSONS LESSONS START The class will start according to the academic calendar. Class schedule DIFFERENTIAL GEOMETRY EXAMS EXAM DESCRIPTION Oral. FURTHER INFORMATION Teaching style: In presence
