INFINITESIMAL MOTIONS OF THE METRICAL 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, 600114 Bacău, ROMANIA
    vblanuta@ub.ro
  • VALER NIMINEŢ
    “Vasile Alecsandri” University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Spiru Haret 8, 600114 Bacău, ROMANIA
    valern@ub.ro

Abstract

We define the notion of almost metrical 2 − π structure on the tangent bundle and study the main properties of such a structure. We study here the existence and arbitrariness of a d-connection FΓ(N) and determine all these connections. Finally we determine the infinitesimal motions of this structure and study the properties of these motions.

Cuvinte cheie

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