MAT 457 - Differential Geometry Credits: 3
(MAT 557 ) Prerequisite: MAT 365 or MAT 411 . Theory of curves and surfaces in Euclidean space. Frenet formulas, curvature and torsion, arc length; first and second fundamental forms, Gaussian curvature, equations of Gauss and Codazzi, differential forms, Cartan’s equations; global theorems.
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