Course Schedule and Catalog
Course Catalog - 2024-2025
MATH 452 - RIEMANNIAN GEOMETRY
Long Title: RIEMANNIAN GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Undergraduate Professional
Visiting Undergraduate
Undergraduate
Prerequisite(s): (MATH 370 OR MATH 401 OR MATH 451) AND (MATH 321 OR MATH 331) AND MATH 443
Description: This is a course on Riemannian manifolds. Topics will include: Tensors, Riemannian metrics.
Connections. The exponential map. Geodesics and completeness. Curvature. First and second
variations of length and area. Jacobi Fields. Additional topics may vary from year to year. Graduate/Undergraduate Equivalency: MATH 552. Recommended Prerequisite(s): MATH 444 Mutually Exclusive: Cannot register for MATH 452 if student has credit for MATH 552.