The Virasoro group and Lorentzian surfaces: The hyperboloid of one sheet
type: Item
instance of: scholarly article
title: The Virasoro group and Lorentzian surfaces: The hyperboloid of one sheet
zbMATH Open document ID: 0959.22014
DOI: 10.1016/S0393-0440(99)00029-7
author: Christian Duval
author: Laurent Guieu
published in: Journal of Geometry and Physics
publication date: 2000-06-07T00:00:00Z
review text: Hauptergebnis der vorliegenden Arbeit ist die Symplektomorphie von speziellen, unendlich-dimensionalen konformen Klassen von Lorentz-Metriken auf dem einschaligen Hyperboloid zu koadjungierten Bahnen der Virasorogruppe. Ein wesentliches Hilfsmittel ist dabei die Schwarzsche Ableitung bzw. der Schwarzsche 1-Kozykel und das zugehörige Kostant-Sternberg-Theorem. Abschließend geben die Autoren einen Ausblick auf mögliche Verallgemeinerungen, insbesondere etwa bzgl. der Frage nach der Konstruktion eines Quanten-Analogons des Lorentz-Hyperboloids.
reviewed by: Heinrich Reitberger
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 53A20
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53A30
zbMATH DE Number: 1435976
zbMATH Keywords: Lorentzian surfaces
zbMATH Keywords: Conformal geometry
zbMATH Keywords: Virasoro group
zbMATH Keywords: Coadjoint orbits
zbMATH Keywords: Projective structures
zbMATH Keywords: Schwarzian derivative
MaRDI profile type: Publication
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full work available at URL: s0393-0440(99)00029-7
OpenAlex ID: W2071788768
description: scientific article; zbMATH DE number 1435976