Backwards Uniqueness of the Mean Curvature Flow
نویسنده
چکیده
In this note we prove the backwards uniqueness of the mean curvature flow in codimension one case. More precisely,let Ft, e Ft : M → M n+1 be two complete solutions of the mean curvature flow on M×[0, T ] with bounded second fundamental form in a complete ambient manifold with bounded geometry. Suppose FT = e FT , then Ft = e Ft on M n × [0, T ]. This is an analog of a recent result of Kotschwar on Ricci flow.
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