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Rustanov A.R., Shchipkova N.N. DIFFERENTIAL GEOMETRY OF CONTACT METRIC MANIFOLDS OF NС11 CLASSThis paper considers a new class of contact metric manifolds, which generalizes the class of АС-manifolds of the С11 class by the classification of Chinya and Gonzalez. The complete group of structural equations for NC11-manifolds derived, and components of Riemann-Christoffel tensor, Ricci tensor and the scalar curvature are computed basing on these equations. Properties of NC11-manifolds are derived. Some identities of the Riemann curvature tensor are derived, too.Key words: contact metric manifold, Riemann curvature tensor, Ricci tensor, F-holomorphic sectional curvature tensor, cosymplectic manifold.
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About this article
Authors: Rustanov A.R., Shchipkova N.N.
Year: 2013
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Editor-in-chief |
Sergey Aleksandrovich MIROSHNIKOV |
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