INFINITESIMAL MOTIONS OF THE 2 − π STRUCTURES ON THE TANGENT BUNDLE

  • VICTOR BLĂNUŢĂ
    “Vasile Alecsandri” University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Spiru Haret 8, Bacău 600114, ROMANIA,
    vblanuta@ub.ro
  • MANUELA GÎRŢU
    “Vasile Alecsandri” University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Spiru Haret 8, Bacău 600114, ROMANIA,
  • VALENTIN GÎRŢU
    National College ”Gh.Vrănceanu” Bacău, Lucreţiu Pătrăşcanu 30, Bacău 600204, ROMANIA
    girtum@yahoo.com

Abstract

We define the motion of an almost 2 − π structure on the tangent bundle and study the main properties of these. We study here the existence and arbitrariness of d-connection DΓ(N) determining all these connections. Finally we determine the infinitesimal motions of this structure and we study the properties of these motions.

Cuvinte cheie

almost 2π structure almost 2π d-connection infinitesimal transformation infinitesimal motion