Invariant scalar-flat Kähler metrics on \(\mathcal {O} (- \ell )\)

  • Paul GauduchonEmail author


This paper aims at giving a unified framework for a number of well-known extremal Kähler metrics with a big group of symmetries, with a special emphasis on the case of scalar-flat Kähler metrics, all stemming from the general construction of \(\mathrm{U} (m)\)-invariant extremal Kähler metrics on the space \(\mathbb {C}^m {\setminus } \{0\}\), based on the momentum profile introduced by Hwang and Singer (Trans Am Math Soc 354:2285–2325, 2002).


Extremal Kähler metrics Toric manifolds Momentum profile Mass 


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© Unione Matematica Italiana 2018

Authors and Affiliations

  1. 1.CMLS, École Polytechnique, CNRSUniversité Paris-SaclayPalaiseauFrance

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