Symplectic structures and globally hyperbolic spacetimes

Fuente: arXiv
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Autore principale: Solha, Romero
Natura: Preprint
Pubblicazione: 2025
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author Solha, Romero
author_facet Solha, Romero
contents The aim of this note is to present a construction of symplectic structures on orientable globally hyperbolic 4-dimensional lorentzian manifolds. Said structures are defined on the manifold itself, not on its cotangent bundle. It also includes a discussion about their geometric quantisation.
format Preprint
id arxiv_https___arxiv_org_abs_2507_02895
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symplectic structures and globally hyperbolic spacetimes
Solha, Romero
General Mathematics
53D05 (primary) 53D50 (Secondary)
The aim of this note is to present a construction of symplectic structures on orientable globally hyperbolic 4-dimensional lorentzian manifolds. Said structures are defined on the manifold itself, not on its cotangent bundle. It also includes a discussion about their geometric quantisation.
title Symplectic structures and globally hyperbolic spacetimes
topic General Mathematics
53D05 (primary) 53D50 (Secondary)
url https://arxiv.org/abs/2507.02895