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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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01 Jan 2007
11 citations
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TL;DR: For complex surfaces, the positivity of the Ricci curvature is preserved by the Kahler-Ricci flow under the additional assumption that the sum of the two lowest eigenvalues of the traceless curvature operator is non-negative as mentioned in this paper.
Abstract: It is observed that for complex surfaces, the positivity of the Ricci curvature is preserved by the Kahler-Ricci flow, under the additional assumption that the sum of the two lowest eigenvalues of the traceless curvature operator is non-negative.
11 citations
TL;DR: A new algorithm, based on the introduction of new spinor quantities, for the Segre classification of the trace-free Ricci tensor is presented, capable of automatically distinguishing between the two Segre types [1, 1(11)] and [(1,1)11] where all other known algorithms fail to do so.
Abstract: A new algorithm, based on the introduction of new spinor quantities, for the Segre classification of the trace-free Ricci tensor is presented. It is capable of automatically distinguishing between the two Segre types [1,1(11)] and [(1,1)11] where all other known algorithms fail to do so.
11 citations
TL;DR: In this paper, the authors consider quasi-Einstein manifolds satisfying the conditions,,, and where,, and denote the conformal curvature tensor, the quasi-conformal curve tensor and the pseudo projective curve tensors, respectively.
Abstract: We consider -quasi Einstein manifolds satisfying the conditions , , , and where , , and denote the conformal curvature tensor, the quasi-conformal curvature tensor, the projective curvature tensor and the pseudo projective curvature tensor, respectively.
11 citations
TL;DR: In this paper, a complete local classification and a geometric description for hypersurfaces with semiparallel Ricci tensors in Euclidean spaces are given, and a complete geometric description is given.
Abstract: A complete local classification and a geometric description are given for hypersurfaces with semiparallel Ricci tensor in Euclidean spaces.
11 citations