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Connections and Distributions on Quantum Hyperplane

Czechoslovak Journal of Physics, 2004
In this paper we introduce basic notions from noncommutative geometry to the quantum hyperplane: linear connections, submanifolds, distributions and we give a Frobenius type theorem for the quantum hyperplane.
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On connectedmmultiply 2 dimensions hyperplane complete residual graph

Journal of Interdisciplinary Mathematics, 2016
AbstractIn this paper, we extend P.Erdos, F.Harary and M.Klawe’s definition of plane complete residual graph to hyperplane and define 2 dimensions hyperplane complete graph. We obtain the minimum order of 2 dimensions hyperplane complete-residual graphs and the minimum order of m multiply 2 dimensions hyperplane complete-residual graphs.
Huiming Duan   +3 more
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Movements in a linearly connected space of hyperplane elements

Lithuanian Mathematical Journal, 1996
The basis of the theory of movements was given by \textit{B. L. Laptev} [`Lie derivative in spaces of supporting elements', Tr. Semin. Vektorn. Tenzorn. Anal. 10, 227-248 (1956; Zbl 0074.16603)] who expressed equations of movements in terms of Lie derivatives.
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Linearly connected spaces of hyperplane elements of maximal mobility

Lithuanian Mathematical Journal, 1997
By a movement of a space with a geometrical structure we denote any transformation preserving this structure. Such transformations form a group which often is a Lie group. In this paper, the author proves that a linearly connected space of hyperplane elements of maximal mobility admits a movement group \(G_r\) possessing \(r=n^2+2\) parameters.
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MAXIMALLY MOBILE SPACES OF HYPERPLANE ELEMENTS WITH A GENERAL AFFINE CONNECTION

Mathematics of the USSR-Sbornik, 1986
For a differentiable manifold X the author considers the equivalence relation \(\sim\) on the cotangent bundle \(T^*X: v\sim w\) iff v and w are in \(T^*_ xX-\{0\}\) and \(v=cw\), \(c\neq 0\). The set \(T^*X/\sim\) is in a natural way a differentiable manifold \(D^*X\). The elements of \(T^*X/\sim\) are called hyperplane elements of X.
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Linear connections of a framed distribution of hyperplane elements in conformal space

Russian Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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