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Extremal metrics on blowups along submanifolds

2016/10/21 by Seyyedali, Reza, Székelyhidi, Gábor
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.06865

Abstract

We give conditions under which the blowup of an extremal Kähler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points.

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