second fundamental form
where L = ruu·n, M = ruv·n, N = rvv·n, and n denotes the unit normal. Unlike the first fundamental form, which relates to the intrinsic metric properties of the surface, the second fundamental form relates to the embedding of the surface in R3. For example, the cylinder and plane are locally isometric but have different second fundamental forms. The two fundamental forms must satisfy certain compatibility equations (one of which is given by the Theorema Egregium). Two surfaces in R3 with the same fundamental forms are related by an isometry of R3.
- crystallographic groups
- cube
- cube root
- cube root of unity
- cubic polynomial
- cuboctahedron
- cuboid
- cumulative distribution function
- cumulative frequency
- cumulative frequency distribution
- cup
- curl
- curvature
- curvature
- curve
- curve sketching
- curvilinear coordinates
- cusp
- cut
- cut plane
- cut point
- cycle
- cycle
- cycle decomposition
- cyclic data