Giovanni Catino, Carlo Mantegazza
Abstract
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We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.
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We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.
Key concepts: Ricci flow, Weyl tensor, Ricci decomposition, Ricci curvature, Lanczos tensor, Tensor (intrinsic definition), Mathematical physics, Mathematics