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Mar 14, 2025
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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.
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.?
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