About the Lorentzian Yamabe problem

We investigate the solutions to the Yamabe problem on globally hyperbolic spacetimes. On standard static spacetimes, we prove the existence of global solutions and show with the help of examples that uniqueness does not hold in general.

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Bibliographische Detailangaben
Veröffentlicht in:	Geometriae dedicata 2015-02, Vol.174 (1), p.287-309
1. Verfasser:	Ginoux, Nicolas
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Analysis of PDEs Convex and Discrete Geometry Differential Geometry Hyperbolic Geometry Mathematics Mathematics and Statistics Original Paper Projective Geometry Topology
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We investigate the solutions to the Yamabe problem on globally hyperbolic spacetimes. On standard static spacetimes, we prove the existence of global solutions and show with the help of examples that uniqueness does not hold in general.
ISSN:	0046-5755 1572-9168
DOI:	10.1007/s10711-014-0018-8