Course Description:
Continues MTH G122. Covers Riemannian metrics, such as geodesics, Levi-Civita connections, Riemann curvature tensor, covariant derivatives of tensor fields, hypersurfaces in Rn, completeness, Jacobi field theory, manifolds with constant curvatures, and manifolds with nonpositive curvature. Introduces Lie groups and Lie algebras.
Fall Offering:
Lab/Coreq 1:
Spring Offering:
Lab/Coreq 2:
Summer Offering:
Lab/Coreq Remarks:
Summer 1 Offering:
Prerequisite 1:
MTH G122
Summer 2 Offering:
Prerequisite 2:
Cross-Listed Course 1:
Prerequisite 3:
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Cross-Listed Course 5:
Repeatable:
N
