Ricci flow

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    Grigori Perelman

    • perelmanAtsign.gifpdmi.ras.ru or perelman@math.sunysb.edu
    • none; formerly Steklov Mathematical Institute, St. petersburg, Russia
    • Perelman made important contributions to the understanding of the Ricci flow, which earned him, due to its importance for the prove of the Poincaré conjecture, the Fields medal in 2006 (he declined). Amongst his contributions is the invention of surgical methods to overcome singularities in the three-dimensional case, as described in his paper "Title: Ricci flow with surgery on three-manifolds" (available at http://arxiv.org/abs/math/0303109v1 ).

    Richard Hamilton

    • hamiltonAtsign.gifmath.columbia.edu
    • Columbia University
    • He introduced the concept in his 1982 paper "Three-manifolds with positive Ricci curvature," Journal of Differential Geometry 17:255-306.
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