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Rustanov A.R., Shchipkova N.N. CURVATURE IDENTITIES OF CLASS C11 MANIFOLDThe article deals with the AU-manifold of class C11, which generalize the class of skew-symplectic manifolds. The identities of the curvature of this class manifold are obtained. As a consequence, the expression of the tensor F-sectional curvature tensor by the Riemann — Christoffel tensor was got.Key words: almost contact metric variety, cosymplectic manifold, the curvature tensor, the tensor F-sectional curvature.
References:
1. Rustanov A.R., Shchipkova N.N. Differential geometry of almost contact metric manifolds of C11-class. Vestnik of OSU №9 (115), september 2010, p. 65-68.
2. Kirichenko V.F. Differential geometric structures on manifolds. — M., MPSU, 2003. — 495 p.
3. Kiritchenko V.F. Sur le gйomйtrie des variйtйs approximativement cosymplectiques // C.R. Acad. Sci. Paris. Sйr. I. Math. 1982. V.295. P. 673-676.
4. Kirichenko V.F., Rustanov A.R. Differential geometry of quasi-Sasaki manifolds.// Mathematical collection, v. 193, № 8, 71-100 p.
About this article
Authors: Rustanov A.R., Shchipkova N.N.
Year: 2011
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Editor-in-chief |
Sergey Aleksandrovich MIROSHNIKOV |
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