Work

Conformal classes of Lorentzian surfaces with Killing fields

Year: 2025

Type: article

Abstract: We study the conformal classes of two‐dimensional Lorentzian tori with (nonzero) Killing fields. We define a map that associate to such a class a vector field on the circle (up to a scalar factor). This map is not injective but has finite‐dimensional fiber. It allows us to characterize the conformal classes of tori with Killing field satisfying a condition related to the existence of conjugate points given by Mehidi.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70010

Author: Pierre Mounoud

Institutions: Centre National de la Recherche Scientifique, Université de Bordeaux, Institut de Mathématiques de Bordeaux

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4407167024

FWCI:

Cites: 9

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Related to: 10