Extremal metrics and lower bound of the modified K-energy
Yuji Sano
Kumamoto University, JapanCarl Tipler
Université du Québec à Montréal, Canada
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Abstract
We provide a new proof of a result of X.X. Chen and G.Tian [5]: for a polarized extremal Kähler manifold, the minimum of the modified K-energy is attained at an extremal metric. The proof uses an idea of C. Li [16] adapted to the extremal metrics using some weighted balanced metrics.
Cite this article
Yuji Sano, Carl Tipler, Extremal metrics and lower bound of the modified K-energy. J. Eur. Math. Soc. 17 (2015), no. 9, pp. 2289–2310
DOI 10.4171/JEMS/557