Gauss Map
The Gauss map is a function from an Orientable Surface in Euclidean Space to a Sphere. It associates toevery point on the surface its oriented Normal Vector. For surfaces in 3-space, the Gauss map of the surface hasDegree given by half the Euler Characteristic of the surface
which works only for Orientable Surfaces.See also Curvature, Nirenberg's Conjecture, Patch
References
Gray, A. ``The Local Gauss Map'' and ``The Gauss Map via Mathematica.'' §10.3 and §15.3 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 193-194 and 310-316, 1993.
- Kirby Calculus
- Kirby's List
- Kirkman's Schoolgirl Problem
- Kirkman Triple System
- Kissing Circles Problem
- Kissing Number
- Kiss Surface
- Kite
- Klarner-Rado Sequence
- Klarner's Theorem
- Klein-Beltrami Model
- Klein Bottle
- Klein Four-Group
- Klein-Gordon Equation
- Kleinian Group
- Klein Quartic
- Klein's Absolute Invariant
- Klein's Equation
- Klein's Theorem
- Kloosterman's Sum
- k-Matrix
- Knapsack Problem
- Kneser-Sommerfeld Formula
- Knights of the Round Table
- Knights Problem