Differential geometry is a classical mathematical area that has become very important for engineering applications in the recent decades. This importance is based on the rise of computer-aided visualization and geometry generation technologies.
The chapter will address the fundamental problem of differential geometry, the finding of geodesic curves, that has practical implications in manufacturing. Development of non-mathematical surfaces used in ships and airplanes has serious financial impact in reducing material waste and improving the quality of the surfaces.
While the discussion in this chapter will focus on analytically solvable problems, the methods and concepts we introduce will provide a foundation applicable ...
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