Isoperimetric inequality along the twisted K\"{a}hler-Ricci flow

TL;DR

This paper establishes a uniform isoperimetric inequality that holds throughout the evolution of the twisted Kähler-Ricci flow on Fano manifolds, contributing to the understanding of geometric analysis in complex geometry.

Contribution

It proves a uniform isoperimetric inequality along the twisted Kähler-Ricci flow on Fano manifolds, a novel result in geometric analysis.

Findings

Uniform isoperimetric inequality holds along the flow

Results apply to all time during the flow

Advances understanding of geometric properties in complex geometry

Abstract

We prove a uniform isoperimetric inequality for all time along the twisted K\"{a}hler-Ricci flow on Fano manifolds.