On principal surfaces of quasi-special complexes with twofold fibration in $$$P_3$$$

Ye.N. Ishchenko (Dnipropetrovsk State University)

Abstract


We prove that, if one of principal surfaces of quasi-special complexes with twofold fibration in three-dimensional projective space $$$P_3$$$ is a quadric, then this complex is complemented by second complex, which allows twofold fibration as well.

References


Kovantsov N.I. "Quasi-special complexes", Matem. sbornik, 1957; 41(3). (in Russian)

Ishchenko Ye.N. "On pairs of quasi-special complexes with twofold fibration", Res. Math., 1972. (in Russian)

Finikov S.P. Method of external Cartan forms in differential geometry, 1948. (in Russian)




DOI: https://doi.org/10.15421/248719

  

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Copyright (c) 1987 Ye.N. Ishchenko

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