In the differential geometry of surfaces, a Darboux frame is a natural moving frame constructed on a surface. It is the analog of the Frenet–Serret frame as applied to surface geometry. A Darboux frame exists at any non-umbilic point of a surface embedded in Euclidean space. It is named after French mathematician Jean Gaston Darboux.
Read more about Darboux Frame: Darboux Frame of An Embedded Curve, Darboux Frame On A Surface, Moving Frames
Famous quotes containing the word frame:
“He drew the curse upon the world, and cracked
The whole frame with his fall.
This made him long for home, as loth to stay
With murmurers and foes;”
—Henry Vaughan (1622–1695)