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arxiv: 1507.02042 · v1 · pith:ZQKGUURQnew · submitted 2015-07-08 · 🧮 math.DG

Unique continuation at infinity for conical Ricci expanders

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keywords ricciinfinitycontinuationexpandersuniqueassociatedasymptoticasymptotically
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We establish Carleman inequalities for the weighted laplacian associated to an expanding gradient Ricci soliton. As a consequence, a unique continuation at infinity is proved for asymptotically Ricci flat Ricci expanders. The obstruction at infinity is a symmetric 2-tensor defined on the link of the corresponding asymptotic cone.

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