Flat timelike submanifolds in S^{2n1}_{2q}(1)
Abstract
In this paper it is shown that the G^{q,q}_{nq,nq}II system gives the GaussCodazziRicci equations of a class of flat timelike nsubmanifolds with index q in S^{2n1}_{2q}(1), where G^{q,q}_{nq,nq} = O(2n  2q, 2q)/O(n  q, q) × O(n  q, q) and 0 < q < n. Moreover, we construct a dressing action on the G^{q,q}_{nq,nq}system space of solutions of the G^{q,q}_{nq,nq}system which gives rise to Bäcklund transformations for flat timelike nsubmanifolds with index q in S^{2n1}_{2q}(1).
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 2002
 DOI:
 10.1088/03054470/35/47/316
 Bibcode:
 2002JPhA...3510197Z