Gauss Equations
If x is a regular patch on a Regular Surface in 
with normal 
, then
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
where
, 
, and 
are coefficients of the second Fundamental Form and 
are Christoffel Symbols of the Second Kind.See also Christoffel Symbol of the Second Kind, Fundamental Forms,Mainardi-Codazzi Equations
References
Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 398-400, 1993.
- Ellipsoidal Harmonic of the Second Kind
- Ellipsoid Geodesic
- Elliptic Alpha Function
- Elliptical Projection
- Elliptic Cone
- Elliptic Cone Point
- Elliptic Curve
- Elliptic Curve Factorization Method
- Elliptic Curve Group Law
- Elliptic Curve Primality Proving
- Elliptic Cylinder
- Elliptic Cylindrical Coordinates
- Elliptic Delta Function
- Elliptic Exponential Function
- Elliptic Fixed Point (Differential Equations)
- Elliptic Fixed Point (Map)
- Elliptic Function
- Elliptic Functional
- Elliptic Geometry
- Elliptic Group Modulo p
- Elliptic Helicoid
- Elliptic Hyperboloid
- Elliptic Integral
- Elliptic Integral of the First Kind
- Elliptic Integral of the Second Kind