Gaussian curvature
English
![](Images/wiktionary/Gaussian_curvature.svg.png.webp)
From left to right: surfaces of negative Gaussian curvature (hyperboloid), zero Gaussian curvature (cylinder), and positive Gaussian curvature (sphere).
![](Images/wiktionary/Torus_Positive_and_negative_curvature.png.webp)
Some points on the torus have positive, some have negative, and some have zero Gaussian curvature.
Noun
Gaussian curvature (countable and uncountable, plural Gaussian curvatures)
- (differential geometry) The product of the principal curvatures of a surface at a given point.
- Synonym: Gauss curvature