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By using O(m+n;1)=O(m)£O(n;1)-system, we give an analytic version of Ribaucour transformation for ∞at m-dimen- sional submanifolds inH m+n with ∞at, non-degenerate normal bun- dle and free of weak umbilics, where n ‚ m i 1.

RIBAUCOUR TRANSFORMATION FOR FLAT m-SUBMANIFOLDS IN ℍm+n

RIBAUCOUR TRANSFORMATION FOR FLAT m-SUBMANIFOLDS IN ℍ^m+n