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 Ribaucour transformation for flat $m$-Submanifolds in $\mathbb{H}^{m+n}$ Commun. Korean Math. Soc. 2006 Vol. 21, No. 4, 739-747 Published online December 1, 2006 Dafeng Zuo Korea Institute for Advanced Study Abstract : By using $O(m+n,1)/O(m)\times O(n,1)$-system, we give an analytic version of Ribaucour transformation for flat $m$-dimen\-sio\-nal submanifolds in $\mathbb{H}^{m+n}$ with flat, non-degenerate normal bundle and free of weak umbilics, where $n\geq m-1$. Keywords : $O(m+n,1)/O(m)\times O(n,1)$-system, Ribaucour transformation, $\mathbb{H}^{m+n}$ MSC numbers : 53A05, 35Q51 Downloads: Full-text PDF