Geodesic
Extremal metrics and lower bound of the modified K-energy
Journal of the European Mathematical Society, Tome 17 (2015) no. 9, pp. 2289-2310 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/557
Classification : 53-XX, 32-XX
Keywords: Kähler manifolds, extremal metrics, K-energy 
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     author = {Yuji Sano and Carl Tipler},
     title = {Extremal metrics and lower bound of the modified {K-energy}},
     journal = {Journal of the European Mathematical Society},
     pages = {2289--2310},
     year = {2015},
     volume = {17},
     number = {9},
     doi = {10.4171/jems/557},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/557/}
}
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Yuji Sano; Carl Tipler. Extremal metrics and lower bound of the modified K-energy. Journal of the European Mathematical Society, Tome 17 (2015) no. 9, pp. 2289-2310. doi: 10.4171/jems/557

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