TL;DR
This paper explores the properties of Bianchi's Bäcklund transformation for quadrics, examining potential generalizations and weaker conditions to broaden its applicability to other surface deformations.
Contribution
It investigates whether Bianchi's Bäcklund transformation can be derived under less restrictive assumptions and extended to other surface types.
Findings
Identifies conditions under which the transformation can be generalized.
Proposes potential weaker assumptions for the transformation.
Analyzes the applicability of the transformation to various surface deformations.
Abstract
We investigate basic features of Bianchi's B\"acklund transformation of quadrics to see if it can be obtained under weaker assumptions and if it can be generalized to deformations of other surfaces.
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