On the long time behaviour of the conical Kähler–Ricci flows
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Abstract We prove that the conical Kähler–Ricci flows introduced in [11] exist for all time {t\in[0,+\infty)} . These immortal flows possess maximal regularity in the conical category. As an application, we show if the twisted first Chern class {C_{1,\beta}} is negative or zero, the corresponding conical Kähler–Ricci flows converge to Kähler–Einstein metrics with conical singularities exponentially fast. To establish these results, one of our key steps is to prove a Liouville-type theorem for Kähler–Ricci flat metrics (which are defined over {\mathbb{C}^{n}} ) with conical singularities.
2014 ◽
Vol 25
(3)
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pp. 1773-1797
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2003 ◽
Vol 14
(03)
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pp. 259-287
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2017 ◽
Vol 354
(3)
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pp. 1133-1172
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2021 ◽
Vol 0
(0)
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2015 ◽
Vol 366
(1-2)
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pp. 101-120
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