Log-linear ODEs and Applications to the Ricci Flow for Homogeneous Spaces
نویسندگان
چکیده
It tries to distribute the curvature evenly around a manifold. In doing so, the Ricci flow preserves the symmetries of the space, and, in the limit, can increase the symmetries of the space. It has been extensively studied in [Ham82], [Pera], [Perc], and [Perb] and it was applied most famously to solve the Poincare conjecture. In general, the Ricci flow is a PDE, however on a homogeneous space it reduces to a system of ODEs. Recall the definition of a homogeneous space.
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