The limiting behaviour of Hermitian-Yang-Mills flow over compact non-K\"ahler manifolds
Yanci Nie, Xi Zhang
TL;DR
This paper investigates the long-term behavior of the Hermitian-Yang-Mills flow on compact non-K"ahler manifolds with special metric conditions, providing insights into its asymptotic properties.
Contribution
It offers a detailed analysis of the flow's asymptotic behavior on non-K"ahler manifolds under Gauduchon and Astheno-K"ahler conditions, extending previous results from K"ahler settings.
Findings
Characterization of the flow's asymptotic limits
Conditions for convergence of the flow
Insights into stability of Hermitian-Yang-Mills connections
Abstract
In this paper, we analyze the asymptotic behaviour of the Hermitian-Yang-Mills flow over a compact non-K\"ahler manifold with the Hermitian metric satisfying the Gauduchon and Astheno-K\"ahler condition.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry