Bianchi's Hazzidakis transformation for generic higher dimensional quadrics

TL;DR

This paper extends Bianchi's Hazzidakis transformation, originally for 2D quadrics, to apply to generic higher-dimensional quadrics, broadening the scope of geometric transformations in differential geometry.

Contribution

It introduces a generalized transformation applicable to higher-dimensional quadrics, expanding the classical theory to more complex geometric structures.

Findings

Successfully generalized Bianchi's Hazzidakis transformation to higher dimensions

Established theoretical framework for transformations of higher-dimensional quadrics

Potential applications in advanced geometric modeling and theory

Abstract

We provide a generalization of Bianchi's Hazzidakis transformation from $2$-dimensional quadrics to generic higher dimensional quadrics.