RIEMANNIAN GEOMETRY
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 .
Prerequisites & course information
Short Title: RIEMANNIAN GEOMETRY Department: Mathematics Grade Mode: Standard Letter Course Type: Lecture Credit Hours: 3 Restrictions: Enrollment is limited to Undergraduate, Undergraduate Professional or Visiting Undergraduate level students. Course Level: Undergraduate Upper-Level Prerequisite(s): ( MATH 370 or MATH 401 or MATH 451 ) and ( MATH 321 or MATH 331 ) and MATH 443
Sources
- Course catalogue ↗2026–2027