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.

The lecture will be given via Zoom, the communication done through TUWEL. Please register in TISS, the registration will be transferred to TUWEL.

Oral exam.

Blaschke, Einführung in die Differentialgeometrie / Elementare Differentialgeometrie

Struik, Lectures on classical differential geometry

Pressley, Elementary differential geometry