Relative K-stability of extremal metrics

Jacopo Stoppa; Gábor Székelyhidi

Journal of the European Mathematical Society (2011)

  • Volume: 013, Issue: 4, page 899-909
  • ISSN: 1435-9855

Abstract

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We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.

How to cite

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Stoppa, Jacopo, and Székelyhidi, Gábor. "Relative K-stability of extremal metrics." Journal of the European Mathematical Society 013.4 (2011): 899-909. <http://eudml.org/doc/277703>.

@article{Stoppa2011,
abstract = {We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.},
author = {Stoppa, Jacopo, Székelyhidi, Gábor},
journal = {Journal of the European Mathematical Society},
keywords = {extremal Kähler metrics; K-stability; extremal metric; scalar curvature; Kähler-Einstein metric},
language = {eng},
number = {4},
pages = {899-909},
publisher = {European Mathematical Society Publishing House},
title = {Relative K-stability of extremal metrics},
url = {http://eudml.org/doc/277703},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Stoppa, Jacopo
AU - Székelyhidi, Gábor
TI - Relative K-stability of extremal metrics
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 4
SP - 899
EP - 909
AB - We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.
LA - eng
KW - extremal Kähler metrics; K-stability; extremal metric; scalar curvature; Kähler-Einstein metric
UR - http://eudml.org/doc/277703
ER -

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