On the total curvature of curves in nonsymmetric Minkowski spaces
DOI:
https://doi.org/10.15407/dopovidi2014.10.007Keywords:
curvature of curves, Minkowski spacesAbstract
The estimations of the total curvature of closed curves in nonsymmetric Minkowski spaces are obtained. Generalizations of the Fenchel and Fary–Milnor theorems are proved. The evaluation of the lengths of closed curves in a ball with fixed radius in the Minkowski space is presented.
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