Scalar and f-Sectional Curvature of a Certain Type of Metric f-Structures

• Autores: Luigia Di Terlizzi
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 3, Nº. 3-4, 2006, págs. 533-547
• Idioma: inglés
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• Resumen

  • We consider a Riemannian manifold (M,g) equipped with an f-structure of constant rank with parallelizable kernel. We assume certain integrability conditions on such a manifold. We prove some inequalities involving the scalar and *-scalar curvature of g. We prove that the corresponding equalities characterize an -manifold, which is a generalization of a Sasakian manifold. We also give a method of constructing such structures on toroidal bundles.