Deformation of LeBrun’s ALE Metrics with Negative Mass

Deformation of LeBrun’s ALE Metrics with Negative Mass

In this article we investigate deformations of a scalar-flat Kähler metric on the total space of complex line bundles over constructed by C. LeBrun. In particular, we find that the metric is included in a one-dimensional family of such metrics on the four-manifold, where the complex structure in the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in mathematical physics 2013-08, Vol.322 (1), p.127-148
1. Verfasser: Honda, Nobuhiro
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this article we investigate deformations of a scalar-flat Kähler metric on the total space of complex line bundles over constructed by C. LeBrun. In particular, we find that the metric is included in a one-dimensional family of such metrics on the four-manifold, where the complex structure in the deformation is not the standard one.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-012-1656-z