Displaying similar documents to “Symmetric, cyclic, and permutation products of manifolds”

Axial permutations of ω²

Paweł Klinga (2016)

Colloquium Mathematicae

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We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.

On weakly cyclic Ricci symmetric manifolds

A. A. Shaikh, Sanjib Kumar Jana (2006)

Annales Polonici Mathematici

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We introduce a type of non-flat Riemannian manifolds called weakly cyclic Ricci symmetric manifolds and study their geometric properties. The existence of such manifolds is shown by several non-trivial examples.

A-manifolds on a principal torus bundle over an almost Hodge A-manifold base

Grzegorz Zborowski (2015)

Annales UMCS, Mathematica

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An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇XXRic(X,X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds

On weakly φ -symmetric Kenmotsu Manifolds

Shyamal Kumar Hui (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of the present paper is to study weakly φ -symmetric and weakly φ -Ricci symmetric Kenmotsu manifolds. It is shown that weakly φ -symmetric and weakly φ -Ricci symmetric Kenmotsu manifolds are η -Einstein.

A-manifolds on a principal torus bundle over an almost Hodge A-manifold base

Grzegorz Zborowski (2015)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇X Ric(X, X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds.