2009•Advances in GeometryOpen access

Generalized S-space-forms with two structure vector fields

Alfonso Carriazo, Luis M. Fernández, Ana M. Fuentes

Abstract

Abstract We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of these manifolds such as certain hypersurfaces of Sasakianspace-forms, principal toroidal bundles and warped products. Moreover, we investigate generalized S-space-forms endowed with an additional structure and we obtain some obstructions for them to be S-manifolds.

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Key concepts: Mathematics, Vector bundle, Space (punctuation), Pure mathematics, Vector field, Vector space, Space form, Principal (computer security)