On Shunkov groups with a strongly embedded subgroup |
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Authors: | V. I. Senashov |
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Affiliation: | 1.Moscow State University,Moscow,Russia |
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Abstract: | The problem of reconstructing a locally Euclidean metric on a disk from the geodesic curvature of the boundary given in the sought metric is considered. This problem is an analog and a generalization of the classical problem of finding a closed plane curve from its curvature given as a function of the arc length. The solution of this problem in our approach can be interpreted as finding a plane domain with the standard Euclidean metric whose boundary has a given geodesic curvature. |
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