On the dynamical behaviour of the generalized Ricci flow

TL;DR

This paper investigates the stability and instability of Ricci-flat metrics and associated 3-forms under the generalized Ricci flow, extending previous results on Ricci flow dynamics.

Contribution

It provides new dynamical stability and instability results for Ricci-flat metrics with vanishing 3-forms under the generalized Ricci flow, building on Müller-Haslhofer's work.

Findings

Establishes conditions for stability of Ricci-flat metrics

Identifies scenarios leading to instability under the flow

Extends stability analysis to generalized Ricci flow context

Abstract

Motivated by M\"uller-Haslhofer results on the dynamical stability and instability of Ricci-flat metrics under the Ricci flow, we obtain dynamical stability and instability results for pairs of Ricci-flat metrics and vanishing 3-forms under the generalized Ricci flow.