第06回

  • 講演者： Jeff. A. Viaclovsky 氏 (MIT)
    • 題 目： Fully nonlinear equations on manifolds with positive Ricci curvature
    • 日 時： 平成 16年 7月 26日(月) 16:30 〜 17:30
    • 場 所： 数学科セミナー室 4号館 3階

I will discuss some recent joint work with Matt Gursky, where we consider the problem of conformally deforming a metric to prescribed symmetric function of the eigenvalues of the Schouten tensor. This is also known as the sigma_k-Yamabe problem. The Yamabe problem for the scalar curvature corresponds to \(k=1\), which is a semilinear equation. However, for \(k > 1\), the equation is fully nonlinear, so requires new techniques.

[<6>]