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DIFFERENTIAL GEOMETRY

CODE 61467
ACADEMIC YEAR 2020/2021
CREDITS 7 credits during the 3nd year of 8760 Mathematics (L-35) GENOVA

7 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA

SCIENTIFIC DISCIPLINARY SECTOR MAT/03
LANGUAGE Italian
TEACHING LOCATION GENOVA (Mathematics)
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.

EXAMS

EXAM DESCRIPTION

Oral.

FURTHER INFORMATION

Teaching style: In presence