1995 Volume 64 Issue 11 Pages 4129-4134
Motion of discrete surfaces (triangulate surfaces) in3-dimensional space is studied. The discrete surfaces are mapped tothe sphere S2 and differential-difference equations are obtained torepresent the motion of the discrete surfaces on the S2. Theseequations contain intrgrable dynamics. Relations between integrablesystems and the Gauss-Bonnet formula are discussed.
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