Pluriclosed flow on manifolds with globally generated bundles

TL;DR

This paper proves that the pluriclosed flow exists globally and converges on manifolds with certain globally generated tensor bundles, advancing understanding of geometric flows in complex geometry.

Contribution

It establishes new global existence and convergence results for pluriclosed flow under conditions involving globally generated tensor bundles.

Findings

Global existence of pluriclosed flow on specified manifolds

Convergence results for the flow under certain conditions

Extension of pluriclosed flow theory to new classes of manifolds

Abstract

We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally generated.