Bianchi's Backlund transformation for higher dimensional quadrics

JOURNAL OF GEOMETRY AND PHYSICS

卷:110

Article

Dinca, Ion I.¹ 

[1] Univ Politehn Bucuresti, Fac Sci Appl, Dept Math Methods & Models, 313 Spl Independentei, Bucharest 060042, Romania

关键词: Backlund transformation;    Bianchi Permutability Theorem;    (Confocal) quadrics;    Common conjugate system;    (Discrete) isometric deformations in C2n-1 of quadrics in Cn+1;   

DOI  :  10.1016/j.geomphys.2016.09.002

来源: Elsevier

【 摘 要 】

We provide a generalization of Bianchi's Backlund transformation from 2-dimensional quadrics to higher dimensional quadrics (which is also a generalization of Tenen-blat-Terng's Backlund transformation of isometric deformations of H-n(R) in R2n-1 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 Backlund transformation for diagonal paraboloids via conjugate systems. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free