The University of Southampton
University of Southampton Institutional Repository

Invariance of the distributional curvature of the cone under smooth diffeomorphisms

Invariance of the distributional curvature of the cone under smooth diffeomorphisms
Invariance of the distributional curvature of the cone under smooth diffeomorphisms
An explicit calculation is carried out to show that the distributional curvature of a 2-cone, calculated by Clarke et al (Clarke C J S, Vickers J A and Wilson J P 1996 Class. Quantum Grav. 13 2485-98), using Colombeau's new generalized functions is invariant under nonlinear Coo coordinate transformations.
0264-9381
579-588
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Wilson, J.P.
99f77ded-dfa0-4865-b73d-e4afb37b1158
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Wilson, J.P.
99f77ded-dfa0-4865-b73d-e4afb37b1158

Vickers, J.A. and Wilson, J.P. (1999) Invariance of the distributional curvature of the cone under smooth diffeomorphisms. Classical and Quantum Gravity, 16 (2), 579-588. (doi:10.1088/0264-9381/16/2/019).

Record type: Article

Abstract

An explicit calculation is carried out to show that the distributional curvature of a 2-cone, calculated by Clarke et al (Clarke C J S, Vickers J A and Wilson J P 1996 Class. Quantum Grav. 13 2485-98), using Colombeau's new generalized functions is invariant under nonlinear Coo coordinate transformations.

Text
DiffeoInvarianceCone.pdf - Accepted Manuscript
Download (128kB)

More information

Submitted date: 20 October 1998
Published date: 1999

Identifiers

Local EPrints ID: 29326
URI: http://eprints.soton.ac.uk/id/eprint/29326
ISSN: 0264-9381
PURE UUID: 3f75d4bd-b9da-4053-9f5b-be5962c0af85
ORCID for J.A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

Catalogue record

Date deposited: 06 Feb 2007
Last modified: 16 Mar 2024 02:34

Export record

Altmetrics

Contributors

Author: J.A. Vickers ORCID iD
Author: J.P. Wilson

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×