Smooth approximations of the conical Kähler–Ricci flows

• DOI: 10.1007/s00208-015-1263-3
• Publication Date: 2015-07-31T12:38:16Z
• Authors: Yuanqi Wang
• Keywords: Mathematics - Differential Geometry; Differential Geometry (math.DG); FOS: Mathematics; 0101 mathematics; 01 natural sciences

In this note, we show that the conical K��hler-Ricci flows introduced in \cite{CYW} exist for all time $t\in [0,\infty)$ in the weak sense. As a key ingredient of the proof, we show that a conical K��hler-Ricci flow is actually the limit of a sequence of smooth K��hler-Ricci flows.<br/>Reference updated especially on Bahuaud-Vertman's work on Yamabe flow, Mathematische Annalen. First online: 01 August 2015<br/>