Properness of log $F$-functionals

Gang Tian; Xiaohua Zhu

arxiv: 1504.03197 · v1 · pith:YUSVKDPJnew · submitted 2015-04-13 · 🧮 math.DG

Properness of log F-functionals

Gang Tian , Xiaohua Zhu This is my paper

classification 🧮 math.DG

keywords ahler-einsteinconicmethodpropernessalternativeapplicationapplycontinuity

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In this paper, we apply the method developed in [Ti97] and [TZ00] to proving the properness of log $F$-functional on any conic K\"ahler-Einstein manifolds. As an application, we give an alternative proof for the openness of the continuity method through conic K\"ahler-Einstein metrics.

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Properness of log F-functionals

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