Differential geometry of curves and surfaces
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Abstract
1. Curves: Parametrized Curves. 2. Regular Surfaces: Regular Surfaces Inverse Images of Regular Values. 3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties. 4. Intrinsic Geometry of Surfaces: Isometrics Conformal Maps. 5. Global Differential Geometry: Rigidity of the Sphere.
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Keywords
- Geometry
- Differential geometry of curves
- Differential geometry
- Differential (mechanical device)
- Mathematics
- Physics
- Mathematical analysis
- Differential equation
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