This article is cited in 1 paper

Functional equations in geometry of two sets

G. G. Mikhailichenko

Chair of Physics and Teaching Principles, Gorny Altai State University, Gorno-Altaisk, Russia

Abstract: We solve a functional equation connected with deformations of the canonical form of a metric function giving on one-dimensional manifolds the geometry of two sets (physical structure) of rank (2,2). We study four types of such deformations.

Keywords: functional equation, geometry of two sets (physical structure), deformation of metric function.

UDC: 517.965

Received: 02.09.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:7, 56–63

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