On some properties of normally-inflective complexes with simple inflective center in $$$E_3$$$

Ye.N. Ishchenko (Dnipropetrovsk State University)

Abstract


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.

References


Ishchenko Ye.N. Thesis of candidate dissertation, 1971. (in Russian)

Kovantzov N.I. Theory of complexes, KGU, 1963. (in Russian)

Ishchenko Ye.N. "On some classes of normally-inflective complexes", Proc. V Vsesoiuzn. conf. on modern problems of geometry, Samarkand, 1972. (in Russian)




DOI: https://doi.org/10.15421/247727

  

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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