Mathematics – Differential Geometry
Scientific paper
2011-01-03
Mathematics
Differential Geometry
24 pages
Scientific paper
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.
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