Convergence of compact Ricci solitons
نویسنده
چکیده
We show that sequences of compact gradient Ricci solitons converge to complete orbifold gradient solitons, assuming constraints on volume, the L-norm of curvature, and the auxiliary constant C1. The strongest results are in dimension 4, where L 2 curvature bounds are equivalent to upper bounds on the Euler number. We obtain necessary and sufficient conditions for limits to be compact.
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