Anisotropic Quadratic Forms and Inversive Geometry

TL;DR

This paper introduces a novel inversive geometry framework tailored for anisotropic quadratic spaces, extending classical Euclidean inversive geometry to more general algebraic settings.

Contribution

It develops a new geometric theory for anisotropic quadratic spaces, bridging classical inversive geometry with algebraic structures.

Findings

Established a geometric model for anisotropic quadratic spaces.

Extended classical inversive geometry concepts to new algebraic contexts.

Provided foundational tools for further research in algebraic and geometric structures.

Abstract

We develop an inversive geometry for anisotropic quadradic spaces, in analogy with the classical inversive geometry of a Euclidean plane.