The Evolution of the Weyl Tensor under the Ricci Flow
Copyright policy )The Evolution of the Weyl Tensor under the Ricci Flow
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.
Mathematics - Differential Geometry, Special Riemannian manifolds (Einstein, Sasakian, etc.), Mathematics - Analysis of PDEs, singularity of Ricci flow, Differential Geometry (math.DG), FOS: Mathematics, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Ricci solitons, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Special Riemannian manifolds (Einstein, Sasakian, etc.), Mathematics - Analysis of PDEs, singularity of Ricci flow, Differential Geometry (math.DG), FOS: Mathematics, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Ricci solitons, Analysis of PDEs (math.AP)
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