Differential Geometry II


Review of central notions of theory of surfaces, global theorems, Godazzi and Gauss equations, covariant derivative, parallel transport, geodesics, the Gauss-Bonnet theorem

Objectives

The student should be able to make proofs of various theorems of elementary differential geometry, understand the concept of geodesic, work applications of Gauss-Bonnet Theorem

Prerequisites

Linear Algebra, Multivariable calculus

Syllabus

Codazzi and Gauss equations, Covariant Derivative and parallel translation, Geodesics, The Gauss-Bonnet Theorem, Solved problems

COURSE DETAILS

Level:

Type:

Undergraduate

(A-)

Instructors: Andreas Arvanitoyeorgos
Department: DEPARTMENT OF MATHEMATICS
Institution: University of Patras
Subject: Mathematics
Rights: CC - Attribution-NonCommercial-NoDerivatives

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