Open Access
January 2020 Extremal metrics on blowups along submanifolds
Reza Seyyedali, Gábor Székelyhidi
Author Affiliations +
J. Differential Geom. 114(1): 171-192 (January 2020). DOI: 10.4310/jdg/1577502024
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.

Seyyedali and Székelyhidi: Extremal metrics on blowups along submanifolds
Copyright © 2020 Lehigh University
Reza Seyyedali and Gábor Székelyhidi "Extremal metrics on blowups along submanifolds," Journal of Differential Geometry 114(1), 171-192, (January 2020). https://doi.org/10.4310/jdg/1577502024
Received: 14 December 2016; Published: January 2020
Vol.114 • No. 1 • January 2020
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