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The introduction of Bochner’s technique on Lorentzian manifolds

✍ Scribed by Alfonso Romero

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
713 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

Bochner's technique is applied to the study of timelike vectors fields on a Lorentzian manifold. In the compact case, a Lorentzian Bochner integral formula is obtained. As a consequence, compact Ricci flat Lorentzian manifolds admitting a timelike conformal vector field are classified. Both in the compact and non compact case, some obstructions to the existence of certain types of timelike vector fields are given.

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