Convergence of Ricci flow on R to flat space

نویسندگان

  • James Isenberg
  • Mohammad Javaheri
چکیده

We prove that, starting at an initial metric g(0) = e2u0(dx2 + dy2) on R2 with bounded scalar curvature and bounded u0, the Ricci flow ∂tg(t) = −Rg(t)g(t) converges to a flat metric on R2.

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تاریخ انتشار 2009