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EXTREMAL METRICS ON BLOWUPS

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Original languageEnglish
Pages (from-to)151
Number of pages51
JournalDuke Mathematical Journal
Volume157
Issue number1
DOIs
Publication statusPublished - 15 Mar 2011

Abstract

In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kahler manifolds which already carry an extremal metric. As a particular case, we construct extremal metrics on P-2 blown-up k points in general position, with k < m + 2.

    Research areas

  • CONSTANT SCALAR CURVATURE, KAHLER-EINSTEIN METRICS, TORIC SURFACES, BLOWING-UP, MANIFOLDS, STABILITY

ID: 378742