2013, № 1 (150)

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

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

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