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arXiv · 1407.6194

Second order variational problem and 2-dimensional concircular geometry

Roman Matsyuk
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Abstract

It is proved that the set of geodesic circles in two dimensions may be given a variational description and the explicit form of it is presented. In the limit case of the Euclidean geometry a certain claim of uniqueness of such description is proved. A formal notion of 'spin' force is discovered as a by-product of the variation procedure involving the acceleration.

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Roman Matsyuk. 2014-07-23. Second order variational problem and 2-dimensional concircular geometry. https://arxiv.org/abs/1407.6194

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