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Functional equations in geometry of two sets

Research paper by G. G. Mikhailichenko

Indexed on: 05 Jun '10Published on: 05 Jun '10Published in: Russian Mathematics



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.