Monge Patch
A Monge patch is a Patch 
of the form
 | (1) |
is an Open Set in 
and 
is a differentiable function. The coefficients of thefirst Fundamental Form are given by |  |  | (2) |
 | |  | (3) |
 | |  | (4) |
and the second Fundamental Form by
 | |  | (5) |
 | |  | (6) |
 | |  | (7) |
For a Monge patch, the Gaussian Curvature and Mean Curvature are
 | |  | (8) |
 | |  | (9) |
See also Monge's Form, Patch
References
Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 305-306, 1993.
- Prime Manifold
- Prime Number
- Prime Number of Measurement
- Prime Number Theorem
- Prime Pairs
- Prime Patterns Conjecture
- Prime Polynomial
- Prime Power Conjecture
- Prime Power Symbol
- Primequad
- Prime Quadratic Effect
- Prime Quadruplet
- Prime Representation
- Prime Ring
- Prime Sequence
- Prime Spiral
- Prime String
- Prime Sum
- Prime Theta Function
- Prime Triangle
- Prime Unit
- Prime Zeta Function
- Primitive Abundant Number
- Primitive Function
- Primitive Irreducible Polynomial