A GEOMETRIC DEFINITION OF LIE DERIVATIVE FOR SPINOR FIELDS

Lorenzo FATIBENE, Marco FERRARIS, Mauro FRANCAVIGLIA and
Marco GODINA

Key words: $G$--bundle, connection, spin structure.

1991 Math. Subject Classification: 53C25; 19L10, 58G10.

Abstract: Relying on the general theory of Lie derivatives
a new geometric definition of Lie derivative for general
spinor fields is given, more general than Kosmann's one.
It is shown that for particular infinitesimal lifts, i.e.
for Kosmann vector fields, our definition coincides
with the definition given by Kosmann more than 20 years ago.