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:
“she drew back a while,
Then, yielding to the irresistible joy,
With frantic gesture and short breathless cry
Folded his frame in her dissolving arms.
Now blackness veiled his dizzy eyes, and night
Involved and swallowed up the vision; sleep,
Like a dark flood suspended in its course,
Rolled back its impulse on his vacant brain.”
—Percy Bysshe Shelley (1792–1822)