Extremal metrics and lower bound of the modified K-energy

Sano, Yuji, and Tipler, Carl. "Extremal metrics and lower bound of the modified K-energy." Journal of the European Mathematical Society 017.9 (2015): 2289-2310. <http://eudml.org/doc/277385>.

@article{Sano2015,
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.},
author = {Sano, Yuji, Tipler, Carl},
journal = {Journal of the European Mathematical Society},
keywords = {Kähler manifolds; extremal metrics; K-energy; Kähler manifolds; extremal metrics; K-energy},
language = {eng},
number = {9},
pages = {2289-2310},
publisher = {European Mathematical Society Publishing House},
title = {Extremal metrics and lower bound of the modified K-energy},
url = {http://eudml.org/doc/277385},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Sano, Yuji
AU - Tipler, Carl
TI - Extremal metrics and lower bound of the modified K-energy
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 9
SP - 2289
EP - 2310
AB - 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.
LA - eng
KW - Kähler manifolds; extremal metrics; K-energy; Kähler manifolds; extremal metrics; K-energy
UR - http://eudml.org/doc/277385
ER -