Abstract
We solve a functional equation connected with deformations of the canonical form of a metric function defining on one-dimensional manifolds the geometry of two sets (physical structure) of the rank (2, 2). We study four types of such deformations.
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Original Russian Text © G.G. Mikhailichenko, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 7, pp. 64–72.
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Mikhailichenko, G.G. Functional equations in geometry of two sets. Russ Math. 54, 56–63 (2010). https://doi.org/10.3103/S1066369X10070066
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DOI: https://doi.org/10.3103/S1066369X10070066