ABOUT SUFFICIENT CONDITIONS OF EXISTENCE OF STABLE ENVELOPE OF THREE-PARAMETER FAMILY OF SURFACES IN FOUR-DIMENSIONAL EUCLIDEAN SPACE
Sharmin Valentin Gennad'evich, Sharmina Tamara Nikolaevna
Tyumen State University
Abstract. In this paper the authors formulate and prove a theorem about sufficient conditions, under which a stable envelope of three-parameter family of surfaces exists in four-dimensional Euclidean space. This article is the continuation of the authors’ works devoted to the envelopes of r -parameter families of surfaces in multidimensional Euclidean spaces.
Key words and phrases: огибающая, семейство поверхностей, евклидово пространство, гиперповерхность, достаточные условия, envelope, family of surfaces, Euclidean space, hypersurface, sufficient conditions
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