RIBAUCOUR TRANSFORMATION FOR FLAT m-SUBMANIFOLDS IN ℍm+n

Title & Authors
RIBAUCOUR TRANSFORMATION FOR FLAT m-SUBMANIFOLDS IN ℍm+n
Zuo, Dafeng;

Abstract
By using O(m+n, 1)/$\small{O(m){\times}O(n,1)-system}$, we give an analytic version of Ribaucour transformation for flat m-dimensional submanifolds in $\small{\mathbb{H}^{m+n}}$ with flat, non-degenerate normal bundle and free of weak umbilics, where $\small{n{\geq}m-1}$.
Keywords
O(m+n, 1)/$\small{O(m){\times}O(n,1)-system}$;Ribaucour transformation;$\small{\mathbb{H}^{m+n}}$;
Language
English
Cited by
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