Proof of a Gromov conjecture on the infinitesimal invertibility of the metric inducing operators

TL;DR

This paper proves Gromov's conjecture regarding the infinitesimal invertibility of metric inducing operators in the context of non-free isometric immersions, advancing understanding in geometric analysis.

Contribution

It provides a proof of Gromov's conjecture on the infinitesimal invertibility of metric inducing operators for non-free isometric immersions, a significant theoretical advancement.

Findings

Confirmed Gromov's conjecture on infinitesimal invertibility

Established new conditions for non-free isometric immersions

Enhanced understanding of metric inducing operators

Abstract

We prove a conjecture of Gromov about non-free isometric immersions.