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DIFFERENTIAL GEOMETRY

CODE 61467
ACADEMIC YEAR 2021/2022
CREDITS
  • 7 cfu during the 3nd year of 8760 MATEMATICA (L-35) - GENOVA
  • 7 cfu during the 1st year of 9011 MATEMATICA(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

    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