The conical K\"ahler-Ricci flow with weak initial data on Fano manifold

Jiawei Liu; Xi Zhang

arxiv: 1601.00060 · v2 · pith:MYQARKIYnew · submitted 2016-01-01 · 🧮 math.DG · math.AP

The conical K\"ahler-Ricci flow with weak initial data on Fano manifold

Jiawei Liu , Xi Zhang This is my paper

classification 🧮 math.DG math.AP

keywords flowahler-ricciconicaldatafanoinitialmanifoldweak

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In this paper, we prove the long-time existence and uniqueness of the conical K\"ahler-Ricci flow with weak initial data which admits $L^{p}$ density for some $p>1$ on Fano manifold. Furthermore, we study the convergence behavior of this kind of flow.

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The conical K\"ahler-Ricci flow with weak initial data on Fano manifold

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