Mainardi-Codazzi equations
The Mainardi-Codazzi equations , named after the Italian mathematicians Gaspare Mainardi and Delfino Codazzi , are formulas of classical differential geometry that refer to surfaces in three-dimensional space ( ). They describe a relationship between the coefficient , , the second fundamental form , the partial derivatives according to the description of the surface parameters used and as well as the Christoffel symbols . These equations are also necessary integrability conditions for the Gauß-Weingarten equations .
Web links
- Eric W. Weisstein : Peterson-Mainardi-Codazzi Equations . In: MathWorld (English).