After successful completion of the course, students are able to explain the fundamental concepts of the differential and Riemannian geometry and to apply the methods they have learned during the course.

Differential manifolds and Riemannian geometry; submanifolds and their curvatures; curves and surfaces in Euclidean geometry.

Lecture.

Oral exam.

Blaschke, Einführung in die Differentialgeometrie / Elementare Differentialgeometrie

Struik, Lectures on classical differential geometry

Pressley, Elementary differential geometry