Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896827 | Journal of Geometry and Physics | 2009 | 14 Pages |
Abstract
In this paper, we give the explicit construction for isometric immersions of pseudo-Riemannian space forms via loop group actions. As a consequence, we obtain a Ribaucour transformation and its permutability theorem for isometric immersions of pseudo-Riemannian space forms, which is a generalization of the permutability theorem for surfaces in R3R3, and a family of new isometric immersions of the pseudo-Riemannian space forms from a given one via a purely algebraic algorithm.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qiaoling Xia,