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We consider a four dimensional Riemannian manifold M with a metric g and an affinor structure q. We note the local coordinates of g and q are circulant matrices. Their first orders are (A, B, C, B), A, B, C \in FM and (0, 1, 0, 0), respectively. Let \nabla be the connection of g.
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Geodesic mapping of Riemannian spaces which preserve the affinor structure
Задача о геодезическом отображении римановых пространств была по-ставлена Леви-Чивита в работе [5] более ста лет назад. Вопросам классификации римановых пространств, допускающих нетривиальные геодезические отображения при различных условиях на метрику ...
Сертич, Анастасія Олегівн
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ALMOST CONTACT METRIC STRUCTURES IN HYPERSURFACES OF B-SPACES OF ELLIPTIC.
An almost contact metric structure (φ, ξ, η, g) of the elliptic type and of the second kind is defined in (2n-1)-dimensional manifold M2n-1 by affinor , vector , covector and metric gij satisfying the conditions: , , , .
Kravčenkaitė, Deimantė,
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On the Nijenhuis - Shirokov tensor of horizontal lifts of affinor fields
Bu çalışmada almost kompleks yapının Nijenhuis tensörünün almost cebirsel yapılara genişlemesi olan Nijenhuis-Shirokov tensörü invaryant formda verilmiş ve bu tür tensörler tanjant demette incelenmiştir.
Cengiz, Necmi, Salimov, Arif
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Connection on some surfaces embedded in the projective space with affinor structure
[Vishnevsky V. V.; Vishnevskii V. V.; Вишневский В. В.]; [Pavlov E. V.; Pavlov Evstati; Pavlov Evstaty; Павлов Евстати] Bulgarian.
Visnevsky, V. V., Pavlov, E. V.
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Pain Acceptance as a Protective Factor Against Parental Stress in Parents with Chronic Pain Conditions. [PDF]
Muñoz-Peña IJ +4 more
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Stress, perceived competence and guilt as predictors of depression in parents with chronic pain. [PDF]
Muñoz-Peña IJ +4 more
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Horizontal lift of affinor structures and its applications
Applied Mathematics and Computation, 2004In this paper, the authors study the horizontal lifts of tensor fields of type (1,1) to tensor bundles and the integrability conditions for the horizontal lifts of special types of complex and tangent structures. It is shown that if \(\varphi\) is an almost complex structure on a manifold \(M\) with a symmetric connection \(\nabla\), then the ...
Abdullah Magden, Arif Salimov
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Affinor structures on vector bundles
Siberian Mathematical Journal, 2014Let \(E \to M\) be a Lie algebroid. Let \(\Omega^k(E)\) be the space of sections of the bundle \(\Lambda^k E\) of \(k\)-forms over the fibers of \(E\), \(d : \Omega^k(E) \to \Omega^{k+1}(E)\) the differential defined by the bracket of the algebroid, and \(I_{\sigma_x} : \Omega^k(E) \to \Omega^{k-1}(E)\) \(\sigma_x\), be the inner derivation. For a \(1\)
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Invariant affinor metric structures on Lie groups
Siberian Mathematical Journal, 2012Let \(G\) be a connected Lie group with associated Lie algebra \(\mathfrak g\), let \(\alpha\) be a left-invariant \(1\)-form and \(\beta\) a left-invariant \(2\)-form on \(G\). The radical rad\(\,\beta\) of \(\beta\) is defined as rad\(\,\beta=\{X\in {\mathfrak g}\, |\, \beta(X,Y)=0 \text{\;for\;all\;}Y\in{\mathfrak g}\}\). The radical rad\(\,\alpha\)
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