Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256036 | Journal of Geometry and Physics | 2016 | 22 Pages |
Abstract
We provide a generalization of Bianchi's Bäcklund transformation from 2-dimensional quadrics to higher dimensional quadrics (which is also a generalization of Tenenblat-Terng's Bäcklund transformation of isometric deformations of Hn(R) in R2nâ1 to general quadrics). Our investigation is the higher dimensional version of Bianchi's main three theorems on the theory of isometric deformations of quadrics and Bianchi's treatment of the Bäcklund transformation for diagonal paraboloids via conjugate systems.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ion I. DincÄ,