MATH 4019. Metric Differential Geometry

Course Code MATE 4019
Course Title Metric Differential Geometry
Credits 3
Hours 3 per week
Prerequisites MATE 4031 and MATE 3153
Description angent, principal normal and binormal of a curve. Osculating plane. Curvature and torsion. The Frenet formulas. Special curves. Regular surfaces. The first and second fundamental forms. Total and mean curvature. The Fundamental theorem of surfaces. Minimal and ruled surfaces. Conformal mappings and isometries.
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