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arxiv: 1407.4406 · v1 · pith:OECCCNKOnew · submitted 2014-07-16 · 🧮 math.DG

Uniqueness for Some Higher-Order Geometric Flows

classification 🧮 math.DG
keywords flowsgeometrichigher-ordersomeambientapplicationcarefulcertain
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We show that solutions to certain higher-order intrinsic geometric flows on a compact manifold, including some flows generated by the ambient obstruction tensor, are unique. With the goal of providing a complete self-contained proof, details surrounding map covariant derivatives and a careful application of the DeTurck trick are provided.

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