A Mechanics for the Ricci Flow

نویسندگان

  • S. Abraham
  • P. Fernández de Córdoba
  • José M. Isidro
چکیده

We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n–dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time–dependent Hamilton– Jacobi equation of the mechanics so defined.

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تاریخ انتشار 2009