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)(·) = Π (x (·), y(·)) of the
geodesic γ SO(
3
)(·).
**A**. **Mashtakov** received his M.S.
in Applied Mathematics and
Computer Science at
University of Pereslavl in 2009. He
received his Ph.D. in Applied

We consider the problem P c u r v e of minimizing \(\int \limits _{0}^{L} \sqrt {\xi ^{2} + \kappa ^{2}(s)} \, \mathrm {d}s\) for a curve x in \(\mathbb {R}^{3}\) with fixed boundary points and directions. Here, the total length L≥0 is free, s denotes the arclength parameter, κ denotes the absolute curvature of x, and ξ>0 is constant. We lift problem P c u r v e on \(\mathbb {R...