Steady gradient soliton with curvature in L^1

Alix Deruelle (1)

1 IF - Institut Fourier

We characterize complete nonnegatively curved steady gradient soliton with curvature in L^1. We show that there are isometric to a product (R^2,g_{cigar}) times(R^{n-2}, eucl))/Gamma where Gamma is a Bieberbach group of rank n-2. We prove also a similar local splitting result under weaker curvature assumptions.

Mots clés: Ricci flow; steady gradient soliton; gap theorem

Domaines: Géométrie différentielle [math.DG]

Alix Deruelle. Steady gradient soliton with curvature in L^1. 2010. ⟨hal-00549815⟩