The area of the image of the Gauss map is called the total curvature and is equivalent to the surface integral of the Gaussian curvature. This is the original interpretation given by Gauss. The Gauss-Bonnet theorem links total curvature of a surface to its topological properties.
Read more about this topic: Gauss Map
Famous quotes containing the word total:
“Unlike Descartes, we own and use our beliefs of the moment, even in the midst of philosophizing, until by what is vaguely called scientific method we change them here and there for the better. Within our own total evolving doctrine, we can judge truth as earnestly and absolutely as can be, subject to correction, but that goes without saying.”
—Willard Van Orman Quine (b. 1908)
Related Phrases
Related Words