Curvature of a class of indefinite globally framed $f$-manifolds

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dc.creatorBrunetti, Letizia
dc.creatorPastore, Anna Maria
dc.date2008-03-04
dc.date2008-03-27
dc.date.accessioned2026-07-07T09:28:37Z
dc.date.available2026-07-07T09:28:37Z
dc.descriptionWe present a compared analysis of some properties of indefinite almost $\mathcal{S}$-manifolds and indefinite $\mathcal{S}$-manifolds. We give some characterizations in terms of the Levi-Civita connection and of the characteristic vector fields. We study the sectional and $ϕ$-sectional curvature of indefinite almost $\mathcal{S}$-manifolds and state an expression of the curvature tensor field for the indefinite $\mathcal{S}$-space forms. We analyse the sectional curvature of indefinite $\mathcal{S}$-manifold in which the number of the spacelike characteristic vector fields is equal to that of the timelike characteristic vector fields. Some examples are also described.
dc.description17 pages, no figures
dc.identifierhttps://arxiv.org/abs/0803.0427
dc.identifierhttp://arxiv.org/abs/0803.0427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157488
dc.subjectDifferential Geometry
dc.subject53C50; 53C15; 53D10
dc.titleCurvature of a class of indefinite globally framed $f$-manifolds
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