JournalsjemsVol. 17, No. 9pp. 2289–2310

Extremal metrics and lower bound of the modified K-energy

  • Yuji Sano

    Kumamoto University, Japan
  • Carl Tipler

    Université du Québec à Montréal, Canada
Extremal metrics and lower bound of the modified K-energy cover
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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