Riemannian Geometry

3 Credits · Level: Undergraduate

This is a PhD-level course. Riemannian Geometry is a second course in Differential Geometry. This course will cover differentiable manifolds, Riemannian metrics, affine and Riemannian connections, geodesics and their minimizing properties, sectional curvature, Ricci curvature, scalar curvature, Jacobi fields as well as isometric immersions.