Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Proceedings of the YSU, Physical and Mathematical Sciences:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2002, Issue 1, Pages 34–38 (Mi uzeru551)  

Mathematics

Possible complexes of three-dimensional planes in projective space $\mathbf{P}^6$ II

V. Nersesyan

Yerevan State University, Faculty of Mathematics and Mechanics
References:
Abstract: In the work possible complexes of three-dimensional planes in six-measured projective space $\mathbf{P}^6$ are studied. It's proved that one-parametric family of cones of second order with three-dimensional flats forming and univariate top, which describes unfold surface defines four-parametric possible family of planes $E^3$, which are all three-dimensional forming to this cones. It's also proved that if we take in space $\mathbf{P}^6$ four-parametric family of three-dimensional planes including fixed straight line $l$ and touching two hypercone with one general univariate top $l$ we will get possible family of three-dimensional planes. Corresponding family tangent of four-parametric family is formed by intersection of tangent hyperplanes to the cones in the sport of osculation of three- dimensional planes family with them.
Keywords: Six-measured projective space, family of cones of second order with three-dimensional flats forming.
Received: 18.01.2001
Accepted: 20.03.2002
Document Type: Article
UDC: 514.75
Language: Russian
Citation: V. Nersesyan, “Possible complexes of three-dimensional planes in projective space $\mathbf{P}^6$ II”, Proceedings of the YSU, Physical and Mathematical Sciences, 2002, no. 1, 34–38
Citation in format AMSBIB
\Bibitem{Ner02}
\by V.~Nersesyan
\paper Possible complexes of three-dimensional planes in projective space $\mathbf{P}^6$ II
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2002
\issue 1
\pages 34--38
\mathnet{http://mi.mathnet.ru/uzeru551}
Linking options:
  • https://www.mathnet.ru/eng/uzeru551
  • https://www.mathnet.ru/eng/uzeru/y2002/i1/p34
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
    Statistics & downloads:
    Abstract page:88
    Full-text PDF :46
    References:33
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025