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Regular version of the site
Master 2024/2025

Introduction to Differential Geometry

Type: Elective course (Mathematics)
Area of studies: Mathematics
When: 1 year, 1, 2 module
Mode of studies: offline
Open to: students of one campus
Instructors: Filipp Uvarov
Master’s programme: Mathematics
Language: English
ECTS credits: 6
Contact hours: 60

Course Syllabus

Abstract

The course serves as an introduction to the main topics of Differential geometry: an initial introduction to symplectic and contact geometry, the theory of affine connections on manifolds, Riemannian manifolds, geodesics. PRELIMINARY PREPARATION: Linear algebra, differential equations, analysis on manifolds