RIEMANNIAN GEOMETRY

Credit Hours: 3 · Graduate

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 .