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.
- Pentatope Number
- Pentomino
- Percent
- Percentage Error
- Percolation Theory
- Percolation Threshold
- Perfect Box
- Perfect Cubic
- Perfect Cuboid
- Perfect Difference Set
- Perfect Digital Invariant
- Perfect Information
- Perfect Magic Cube
- Perfect Number
- Perfect Partition
- Perfect Proportion
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- Perfect Ruler
- Perfect Set
- Perfect Square
- Perfect Square Dissection
- Periapsis
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- Perimeter Polynomial