Differential Geometry. 3 credits

Catalog description

Riemannian geometry was created by Bernhard Riemann in his remarkable 1854 Habilitationsschrift. It provides the mathematical foundation for Einstein’s general theory of relativity. In the early 1920’s Elie Cartan generalized Riemann’s geometry to include the revolutionary program of Felix Klein understanding geometry through the lens of Sophus Lie’s theory of symmetry groups. Topics covered in this course vary, but will include: Riemannian metrics and/or their generalizations, connections, curvature, and geodesics. Offered by Mathematics . May not be repeated for credit.