Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (1): 97-106.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.012

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On Quasi-Jacobi Bialgebroid and Its Dirac-Jacobi Structure

  

  1. School of Applied Science, Beijing Information Science and Technology University
  • Received:2012-01-09 Online:2014-03-30 Published:2023-02-14
  • About author:LIU Ling(1976-), female, native of Jinzhai, Anhui, an associate professor of Beijing Information Science and Technology University, Ph.D., engages in Poisson geometry.
  • Supported by:
    Supported by the Scientific Research Common Program of Beijing Municipal Commission of Education(SQKM201211232017); Supported by the Beijing Excellent Training Grant(2012D005007000005); Supported by the Funding Program for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality(11530500015)

Abstract: Notions of quasi-Jacobi bialgebroid and its Dirac-Jacobi structure are introduced. The necessary and sufficient conditions for a maximal isotropic subbundle L to be a DiracJacobi structure are proved. Meanwhile several special examples are presented.

Key words: quasi-Jacobi bialgebroid, Jacobi-quasi bialgebroid, Dirac-Jacobi structure, triangular Jacobi bialgebroid

CLC Number: