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A geometric definition of Lie derivative for Spinor Fields

Lorenzo Fatibene·Marco Ferraris·Mauro Francaviglia·Marco Godina
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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.

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Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia, Marco Godina. 1996-08-01. A geometric definition of Lie derivative for Spinor Fields. https://arxiv.org/abs/gr-qc/9608003

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