Article ID Journal Published Year Pages File Type
1896827 Journal of Geometry and Physics 2009 14 Pages PDF
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
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