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Paper detail

Steady gradient soliton with curvature in L^1

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.

preprint2011arXivOpen access
Alix Deruelle
math.DG
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Alix Deruelle

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