The third chapter of differential geometry The local theory of the surface

Chapter Three, the local theory of the surface

1. The concept of surfaces

1.1. The concept of surfaces

1.2. Tangent plane and FA

2. The first basic form of the surface

3. Second basic form of the surface

4. Normal curvature and Weingarten transformation

5. Main curvature and Gauss curvature

6. Some examples of surfaces

6.1. Rotating surfaces

6.1.1. Gauss curvature Rotational surface

6.1.2. Constant average curvature rotational surface

6.2. Ruled surface and developable surfaces

6.3. Full umbilical point surface

The third chapter of differential geometry The local theory of the surface