Extremal metrics and lower bound of the modified K-energy

Yuji Sano; Carl Tipler

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arXiv · 1211.5585

Extremal metrics and lower bound of the modified K-energy

Yuji Sano·Carl Tipler

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Abstract

We provide a new proof of a result of X.X.Chen and G.Tian : for a polarized extremal K\"ahler manifold, an extremal metric attains the minimum of the modified K-energy. The proof uses an idea of C.Li adapted to the extremal metrics using some weighted balanced metrics.

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Yuji Sano, Carl Tipler. 2012-11-23. Extremal metrics and lower bound of the modified K-energy. https://arxiv.org/abs/1211.5585

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