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Dec 15, 2025
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University General Course Catalog 2020-2021 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.
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MATH 745 - Riemannian Geometry (3 units)
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.
Prerequisite(s): MATH 744 .
Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring - Even Years
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate an understanding of Riemannian metrics and affine connections on differentiable manifolds.
2. work with geodesics on Riemannian manifolds, and use their properties to solve concrete problems, such as finding distance minimizing paths.
3. show a mastery of computing and applying the Riemannian and Ricci tensors, and sectional and scalar curvatures.
Click here for course scheduling information. | Check course textbook information
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