Work

On the space of cone geodesics and positive paths of contactomorphisms

Year: 2026

Type: article

Abstract: Often it is possible to equip the space of all cone geodesics of a strongly convex cone structure with the structure of a smooth contact manifold. This generalizes the analogous notions for the space of light rays of a Lorentzian spacetime. After reviewing these constructions on the space of cone geodesics, with a focus on the natural contact structure, we establish a correspondence between positive paths of contactomorphisms in spherical cotangent bundles and certain globally hyperbolic cone structures.

Source: General Relativity and Gravitation

DOI: 10.1007/s10714-026-03554-x

Author: Jakob Hedicke

Institution: Radboud University Nijmegen

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,290

Funder: Radboud Universiteit