Splitting theorems in presence of an irrotational vector field

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dc.creatorGutierrez, Manuel
dc.creatorOlea, Benjamin
dc.date2003-06-24
dc.date.accessioned2026-07-07T04:59:08Z
dc.date.available2026-07-07T04:59:08Z
dc.descriptionNew splitting theorems in a semi-Riemannian manifold which admits an irrotational vector field (not necessarily a gradient) with some suitable properties are obtained. According to the extras hypothesis assumed on the vector field, we can get twisted, warped or direct decompositions. Some applications to Lorentzian manifold are shown and also $\mathbf{S}^{1}\times L$ type decomposition is treated.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0306343
dc.identifierhttp://arxiv.org/abs/math/0306343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67864
dc.subjectDifferential Geometry
dc.subject53C50; 53C20
dc.titleSplitting theorems in presence of an irrotational vector field
dc.typetext

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