%0 Journal Article %A Yuji Sano %A Carl Tipler %T Extremal metrics and lower bound of the modified K-energy %J Journal of the European Mathematical Society %D 2015 %P 2289-2310 %V 17 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/557/ %R 10.4171/jems/557 %F JEMS_2015_17_9_a6