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Displaying similar documents to “On a Certain Extension of the Class of Semisymmetric Manifolds”

Algebraic classification of the Weyl tensor

Pravdová, Alena

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Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed.

On Riemann and Weyl Compatible Tensors

Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)

Publications de l'Institut Mathématique

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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

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.