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:
“Parenting is the one area of my life where I can feel incompetent, out of control and like a total failure all of the time.”
—Attorney Father. As quoted in Reviving Ophelia, by Mary Pipher, ch. 4 (1994)
Related Phrases
Related Words