Left Bol three-webs with the IC-property

详细信息    查看全文

• 作者：G. A. Tolstikhina (19478)
  A. M. Shelekhov (19478)
  
• 关键词：Bol three ; web ; core of a Bol three ; web ; IC ; property of a Bol three ; web ; Chern connection ; locally symmetric affine connection
• 刊名：Russian Mathematics (Iz VUZ)
• 出版年：2013
• 出版时间：May 2013
• 年：2013
• 卷：57
• 期：5
• 页码：20-28
• 全文大小：506KB
• 参考文献：1. M. A. Akivis and A. M. Shelekhov, -em class="a-plus-plus">Multidimensional Three-webs and Their Applications (Tver State University, Tver, 2010).
  2. G. A. Tolstikhina, “On Locally Symmetric Structure Related to a Generalized Left Bol Three-Web / B _l ( / p, q, q),-Geometry, Topology, and Their Applications, Proc. of Math. Inst. of the Ukrainian Nat. Acad. Sci. 6(2), 247-55 (2009).
  3. V.D. Belousov, “The Core of a Bol Loop,-in / Investigations in General Algebra (Kishinev, 1965), pp. 53-5.
  4. V. D. Belousov, / Foundations of the Theory of Quasigroups and Loops (Nauka, Moscow, 1967).
  5. G. A. Tolstikhina, “AGeneralized Left Bol Three-Web / Bl( / ρ, r, r) as a Factor Web of a Left Bol Web / B _l ( / r, r, r),-Vestnik Tver Univ. Ser Prikl. Matem. 21(2), 117-34 (2011).
  6. G. A. Tolstikhina, “The Conditions for the CoordinateQuasigroup and the Core of a Left Bol Web to be Isotopic to Each Other,-Izv. Penzensk. Gos. Pedagog. Univ. Ser. Fiz.-Matem. i Tekhn. Nauki, No. 4 (26), 255-62 (2011).
  7. L. V. Sabinin and P. O. Mikheev, / Theory of Smooth Bol Loops (Peoples-Friendship University of Russia, Moscow, 1985).
  
• 作者单位：G. A. Tolstikhina (19478)
  A. M. Shelekhov (19478)
  
  19478. Tver State University, ul. Zhelyabova 33, Tver, 170100, Russia
  
• ISSN：1934-810X

文摘

We say that a left Bol three-web B ?/sub> has the IC-property if the coordinate quasigroup and the core of B ?/sub> are isotopic. We describe some properties of the submanifold V which establishes this isotopy.