The classification of flat compact complete space-forms with metric of signature (2,2)

Ming Wang

Vol. 148 (1991), No. 1, 181–200

DOI: 10.2140/pjm.1991.148.181

Abstract

Those flat compact complete space-forms with metric of signature (2,2) are classified up to finite covers. The simply transitive subgroups of R⁴ ⋊ SO(2,2) are classified up to conjugation.

Mathematical Subject Classification 2000

Primary: 53C50

Secondary: 53C30, 57S30

Milestones

Received: 13 September 1988

Revised: 27 February 1989

Published: 1 March 1991