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Convergence of the Yamabe flow for arbitrary initial energy. (English) Zbl 1085.53028

A general convergence result for the Yamabe flow in conformal geometry is presented. It is worth to stress that the convergence is proved for arbitrary initial energy. Important related geometric aspects and developments are pointed out.

MSC:

53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
35K55 Nonlinear parabolic equations
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
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