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1 February 2015 Extremal Kähler metrics on projectivized vector bundles
Till Brönnle
Duke Math. J. 164(2): 195-233 (1 February 2015). DOI: 10.1215/00127094-2860166

Abstract

We prove the existence of extremal, nonconstant–scalar curvature, Kähler metrics on certain unstable projectivized vector bundles P(E)M over a compact constant–scalar curvature Kähler manifold M with discrete holomorphic automorphism group, in certain adiabatic Kähler classes. In particular, the vector bundles EM are assumed to split as a direct sum of stable subbundles E=E1Es all having different Mumford–Takemoto slope, for example, μ(E1)>>μ(Es).

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Till Brönnle. "Extremal Kähler metrics on projectivized vector bundles." Duke Math. J. 164 (2) 195 - 233, 1 February 2015. https://doi.org/10.1215/00127094-2860166

Information

Published: 1 February 2015
First available in Project Euclid: 30 January 2015

zbMATH: 1325.53095
MathSciNet: MR3306554
Digital Object Identifier: 10.1215/00127094-2860166

Subjects:
Primary: 53C55

Rights: Copyright © 2015 Duke University Press

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Vol.164 • No. 2 • 1 February 2015
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