ABOUT EXISTENCE OF A QUASIDOUBLE LINE OF THE PAIR IN 4-DIMENSIONAL EUCLIDEAN SPACE

Abstract

             Object of research: partial mapping  of space, 3-dimensional distribution  and a pair . Goal of research: to research necessary and sufficient conditions of existence of the quasidouble lines of the pair , where  partial mapping, defined by using pseudofocus  on the tangent to lin  of given net Frenet .  Methods of research: Cartan external forms method and moving frame method. Results of research: It is found necessary and sufficient conditions of existence of a quasidouble lines of the pair . Difference of revolts: the task of existence of a quasidouble lines of the pair  not studied before, therefore the results of this article are new. Recommendation for science and practis: It is recommended the results for further use in research in the theory of differentiable mappins.