Displaying similar documents to “Certain property of the Ricci tensor on Sasakian 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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Killing tensors and warped product

Włodzimierz Jelonek (2000)

Annales Polonici Mathematici

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We present some examples of Killing tensors and give their geometric interpretation. We give new examples of non-compact complete and compact Riemannian manifolds whose Ricci tensor ϱ satisfies the condition X ϱ ( X , X ) = 2 / ( n + 2 ) X τ g ( X , X )