Topic
Ricci decomposition
About: Ricci decomposition is a research topic. Over the lifetime, 1972 publications have been published within this topic receiving 45295 citations.
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TL;DR: In this paper, the vanishing of the Ricci tensor of the path space above a Ricci flat Riemannian manifold is discussed, and the vanishing is shown to be a special case of the vanishing in the case of Ricci curvatures.
18 citations
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TL;DR: In this article, it was shown that every bounded representation of the tensor product of two C*-algebras is similar to a *-representation, one of which is nuclear and contains matrices of any order.
Abstract: We prove that every bounded representation of the tensor product of two C*-algebras, one of which is nuclear and contains matrices of any order, is similar to a *-representation.
18 citations
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TL;DR: Tensor distributions and their derivatives are described without assuming the presence of a metric, providing a natural framework for discussing tensor distributions on manifolds with degenerate metrics, including in particular metrics which change signature.
Abstract: Tensor distributions and their derivatives are described without assuming the presence of a metric This provides a natural framework for discussing tensor distributions on manifolds with degenerate metrics, including in particular metrics which change signature
18 citations
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TL;DR: In this article, conformally flat, semi-Riemannian manifolds with curvature tensors and Ricci operators were classified. But the Ricci operator has pure imaginary eigenvalues.
Abstract: We classify the conformally flat, semi-Riemannian manifolds satisfying $R(X,Y) \cdot Q = 0$, where $R$ and $Q$ are the curvature tensor and the Ricci operator, respectively. As the cases which do not occur in the Riemannian manifolds, the Ricci operator $Q$ has pure imaginary eigenvalues or it satisfies $Q^2 = 0$.
18 citations