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Conformal vector fields with respect to the Sasaki metric tensor

Journal of Geometry · Mart 2006

Makale Bilgileri

DergiJournal of Geometry
Yayın TarihiMart 2006
Cilt / Sayfa84 · 133-151
Özet The purpose of this article is to characterize conformal vector fields with respect to the Sasaki metric tensor field on the tangent bundle of a Riemannian manifold of dimension at least three. In particular, if the manifold in question is compact, it is found that the only conformal vector fields are Killing vector fields. © Birkhäuser Verlag, Basel 2005.