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Oct 16, 2024
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2014-2016 Undergraduate and Graduate Bulletin (without addenda) [ARCHIVED CATALOG]
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MA-GY 7503 Manifolds and Lie Groups3 Credits
This course covers elementary theory of manifolds. Tangent space, mappings, submanifolds, fields, fiber bundles, Lie groups, homogeneous spaces. Elements of the theory of connections, Riemannian geometry. Imbedded manifolds. Calculus of variations. Harmonic forms, complex manifolds and Morse theory.
Prerequisite(s): MA-GY 6213 and MA-GY 6223 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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