Flat time-like submanifolds in S2n-12q(1)
Abstract
In this paper it is shown that the Gq,qn-q,n-q-II system gives the Gauss-Codazzi-Ricci equations of a class of flat time-like n-submanifolds with index q in S2n-12q(1), where Gq,qn-q,n-q = O(2n - 2q, 2q)/O(n - q, q) × O(n - q, q) and 0 < q < n. Moreover, we construct a dressing action on the Gq,qn-q,n-q-system space of solutions of the Gq,qn-q,n-q-system which gives rise to Bäcklund transformations for flat time-like n-submanifolds with index q in S2n-12q(1).
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- November 2002
- DOI:
- 10.1088/0305-4470/35/47/316
- Bibcode:
- 2002JPhA...3510197Z