CODE 61467 ACADEMIC YEAR 2017/2018 CREDITS 7 cfu anno 3 MATEMATICA 8760 (L-35) - 7 cfu anno 1 MATEMATICA 9011 (LM-40) - SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italian TEACHING LOCATION 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) PIERRE OLIVIER MARTINETTI NICOLA PINAMONTI LESSONS LESSONS START The class will start according to the academic calendar. Class schedule DIFFERENTIAL GEOMETRY EXAMS EXAM DESCRIPTION Oral. Exam schedule Data appello Orario Luogo Degree type Note 16/01/2018 10:00 GENOVA Scritto 17/01/2018 10:00 GENOVA Orale 12/02/2018 10:00 GENOVA Scritto 13/02/2018 10:00 GENOVA Orale 07/06/2018 10:00 GENOVA Scritto 08/06/2018 10:00 GENOVA Orale 25/06/2018 09:00 GENOVA Scritto 26/06/2018 14:00 GENOVA Orale 26/07/2018 10:00 GENOVA Scritto 27/07/2018 10:00 GENOVA Orale 10/09/2018 10:00 GENOVA Scritto 11/09/2018 10:00 GENOVA Orale FURTHER INFORMATION Teaching style: In presence