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Bianchi's Bäcklund transformation for higher dimensional quadrics
release_qxqkg7balbgbzb2y3ojp7lsumm
by
Ion I. Dinca
Released
as a article
.
2008
Abstract
We provide a generalization of Bianchi's Bäcklund transformation from
2-dimensional quadrics to higher dimensional quadrics. The starting point of
our investigation is the higher dimensional (infinitesimal) version of
Bianchi's main four theorems on the theory of deformations of quadrics and
Bianchi's treatment of the Bäcklund transformation for diagonal paraboloids
via conjugate systems.
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arXiv
0808.2007v2
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