L-preserving Schrodinger heat flow under the Ricci flow
نویسنده
چکیده
In the present paper, we study the L2−preserved Schrödinger heat flow under the Ricci flow on closed manifolds. First, we establish the global existence and the uniqueness of the solution to the heat flow under the Ricci flow. Next, we prove an elliptic type gradient estimate of smooth positive solutions to the heat flow and get a Harnack inequality. M.S.C. 2010: 53C21.
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تاریخ انتشار 2011