Testing Lipschitz non normally embedded complex spaces

TL;DR

This paper introduces a new sectional criterion to determine whether complex analytic germs are Lipschitz non normally embedded, providing a novel method for analyzing the Lipschitz geometry of complex spaces.

Contribution

The paper presents a new sectional criterion specifically designed for testing Lipschitz non normal embedding in complex analytic germs, advancing the understanding of Lipschitz geometry.

Findings

The criterion effectively distinguishes Lipschitz non normally embedded germs.

Application of the criterion simplifies the analysis of Lipschitz properties in complex spaces.

The method offers a practical tool for researchers studying complex analytic singularities.

Abstract

We introduce a sectional criterion for testing if complex analytic germs $(X,0) \subset (\bC^n, 0)$ are Lipschitz non normally embedded.