• DocumentCode
    3238761
  • Title

    A sort of three dimensional Hopf manifold

  • Author

    Ju, Yang Yang ; Jun, Wang Baa

  • Author_Institution
    Sch. of Math. & Stat., Nanyang Normal Univ., Nanyang, China
  • fYear
    2011
  • fDate
    27-29 May 2011
  • Firstpage
    605
  • Lastpage
    608
  • Abstract
    The main results of this paper are the following: A sort of three-dimensional Hopf manifold is constructed by applications of linear matrix cyclic group action on Kähler manifold; A method of calculating the holomorphic vectors of the three-dimensional Hopf manifold is provided by means of several complex holomorphic function and universal covering theory; Some kind of this Hopf manifold do not admit locally conformal Kähler metrics with parallel Lee form.
  • Keywords
    functions; group theory; matrix algebra; vectors; 3D Hopf manifold; Kähler manifold; complex holomorphic function; holomorphic vectors; linear matrix cyclic group action; parallel Lee form; universal covering theory; Educational institutions; Manifolds; Measurement; Orbits; Hopf manifold; holomorphic vector; lee form; locally conformal Kähler metric;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication Software and Networks (ICCSN), 2011 IEEE 3rd International Conference on
  • Conference_Location
    Xi´an
  • Print_ISBN
    978-1-61284-485-5
  • Type

    conf

  • DOI
    10.1109/ICCSN.2011.6014643
  • Filename
    6014643
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3238761