Overview
Description
This introductory course to Riemannian geometry shall cover Riemannian metrics, affine and Riemannian connections, geodesics and geodesic flow, the Riemann and Ricci curvature tensors, and sectional and scalar curvatures.
Requirements
Prerequisites
MATH 744
Original catalog text
Prerequisites
Prerequisite(s): MATH 744.
Units
Lecture3
Catalog Details
Offering
Offered: Every Spring - Even Years
Terms
spring
Attributes
Standard
Learning Outcomes
- demonstrate an understanding of Riemannian metrics and affine connections on differentiable manifolds.
- work with geodesics on Riemannian manifolds, and use their properties to solve concrete problems, such as finding distance minimizing paths.
- show a mastery of computing and applying the Riemannian and Ricci tensors, and sectional and scalar curvatures.