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单词 Gauss Equations
释义

Gauss Equations

If x is a regular patch on a Regular Surface in with normal , then

(1)
(2)
(3)

where , , and are coefficients of the second Fundamental Form and are Christoffel Symbols of the Second Kind.

See also Christoffel Symbol of the Second Kind, Fundamental Forms,Mainardi-Codazzi Equations


References

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 398-400, 1993.


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