Course Catalog - 2024-2025

     

MATH 552 - 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):
Graduate
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 452. Recommended Prerequisite(s): MATH 451/551 or MATH 401/500 Mutually Exclusive: Cannot register for MATH 552 if student has credit for MATH 452.