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

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We 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.
17 pages, no figures

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Differential Geometry, 53C50; 53C15; 53D10

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http://salesiana.dossiersoluciones.com/handle/123456789/157488

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0427
 http://arxiv.org/abs/0803.0427

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arXiv