Repository logo
 

Some Examples of Projective and c-projective Compactifications of Einstein Metrics

Published version
Peer-reviewed

Change log

Authors

Dunajski, M 
Gover, AR 
Waterhouse, A 

Abstract

We construct several examples of compactifications of Einstein metrics. We show that the Eguchi--Hanson instanton admits a projective compactification which is non--metric, and that a metric cone over any (pseudo)--Riemannian manifolds admits a metric projective compactification. We construct a para--c--projective compactification of neutral signature Einstein metrics canonically defined on certain rank--n affine bundles M over n-dimensional manifolds endowed with projective structures.

Description

Funder: University of Cambridge

Keywords

math.DG, math.DG, gr-qc, hep-th

Journal Title

Annales Henri Poincare

Conference Name

Journal ISSN

1424-0637
1424-0661

Volume Title

21

Publisher

Springer Science and Business Media LLC
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
STFC (ST/T000694/1)