arXiv subjects

Yanci Nie

Publications and source records attributed to Yanci Nie.

4 recordsLinked to original sources

arXiv2019

Numerically flat holomorphic bundles over non Kähler manifolds

In this paper, we study numerically flat holomorphic vector bundles over a compact non-Kähler manifold $(X, ω)$ with the Hermitian metric $ω$ satisfying the Gauduchon and Astheno-Kähler conditions. We prove that numerically flatness is equivalent to numerically effectiveness with vanishing first Chern number, semistablity with vanishing first and second Chern numbers, approximate Hermitian flatness and the existence of a filtration whose quotients are Hermitian flat. This gives an affirmative answer to the question proposed by Demailly, Peternell and Schneider.

math.DG↗

arXiv2018

The limiting behaviour of Hermitian-Yang-Mills flow over compact non-Kähler manifolds

In this paper, we analyze the asymptotic behaviour of the Hermitian-Yang-Mills flow over a compact non-Kähler manifold $(X,g)$ with the Hermitian metric $g$ satisfying the Gauduchon and Astheno-Kähler condition.

math.DG↗

arXiv2016

Semistable Higgs bundles over compact Gauduchon manifolds

In this paper, we consider the existence of approximate Hermitian-Einstein structure and the semi-stability on Higgs bundles over compact Gauduchon manifolds. By using the continuity method, we show that they are equivalent.

math.DG↗

arXiv2015

A note of semistable Higgs bundles over compact Kähler manifolds

In this note, by using the Yang-Mills-Higgs flow, we show that semistable Higgs bundles with vanishing the first and second Chern numbers over compact Käher manifolds must admit a filtration whose quotients are Hermitian flat Higgs bundles.

math.DG↗