LAGERR'S TRANSFORMATIONS IN PSEUDOEUCLIDEAN SPACES AND GEOMETRY OF LOBACHEVSKY

Analogs of Lagerr's transformations in ideal regions of a plane and three-dimensional space of Lobachevsky are considered in the paper aiming at the investigation of Lagerr's transformation analogs in an ideal region of a Lobachevsky's plane in the connection both with Lagerr's transformation in a pseudoeuclidean plane and with transformations in various tangential separations. The construction of the possible generalization for the case of an ideal region of a three-dimensional space of Lobachevsky is also the aim of the paper. As a result analogs of Lagerr's transformations in ideal regions of a plane and three-dimensional space of Lobachevsky have been investigated. The paper results may find their field of application in investigations of non-euclidean geometries, connected with various their models and their applications to linear geometryAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio