MATH 643 - Differential Geometry and Relativity I

(3 units)

Manifolds, the tangent bundle, differential forms, exterior differentiation, Lie differentiation, Koszul connections, curvature, torsion, Cartan’s structural equations, integration of differential forms.

Grading Basis: Graded
Units of Lecture: 3
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. perform local calculations in differential geometry: covariant derivatives, differential forms, curvature and tensor calculations.?
2. explain the postulates of General Relativity.
3. derive geodesic equations in a given spacetime and solve them in special cases.?

Click here for course scheduling information. | Check course textbook information