Open AccessOn some properties of normally-inflective complexes with simple inflective center in $E_3$
Author(s) -
Ye.N. Ishchenko
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/247727
Subject(s) - simple (philosophy) , fibered knot , center (category theory) , mathematics , pure mathematics , class (philosophy) , degenerate energy levels , sheaf , point (geometry) , geometry , computer science , physics , artificial intelligence , philosophy , chemistry , epistemology , quantum mechanics , crystallography
In the paper, we consider the special degenerate class of mormally-inflective complexes with simple inflective center in three-dimensional Euclidean space $E_3$. We prove that to construct this class of complexes one should take an arbitrary curve and draw sheaf of straight lines through each point of this curve. For arbitrary normally-inflective complex with simple inflective center we establish that such complex is fibered into two one-parametric families of congruences.