MATH 452: RIEMANNIAN GEOMETRY

Fall 2025 · Section 001 · CRN 14848

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. Cross-list: MATH 552. Recommended Prerequisite(s): MATH 444 Mutually Exclusive: Cannot register for MATH 452 if student has credit for MATH 552.

Credits
3
Instructors
Christos Mantoulidis

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