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Xiaoli Han. ·. Xishen Jin. ·. Yang Wen. In this paper, we study the properties of the critical points of Yang-Mills-Higgs functional, which are called Yang-Mills-Higgs pairs. We first consider...
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Xiaoli Han is known for The Karate Kid (2010), Blind Detective (2013) and Police Story: Lockdown (2013).
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Sep 13, 2023 · In this paper we consider a gradient flow for the L β -functional introduced by the authors in Han–Li–Sun (2018). We first prove that the “symplectic” property is preserved along the gradient flow. Then we prove a monotonicity formula and an ε-regularity theorem for the flow.
Jan 21, 2020 · Xiaoli Han, Xishen Jin. Let (X, ω) be a compact Kähler manifold of complex dimension n and (L, h) be a holomorphic line bundle over X. The line bundle mean curvature flow was introduced in \cite {JY} in order to find deformed Hermitian-Yang-Mills metrics on L. In this paper, we consider the stability of the line bundle mean curvature flow.
- Xiaoli Han, Xishen Jin
- arXiv:2001.07406 [math.DG]
- 2020
- Differential Geometry (math.DG)
Xiaoli Han and Xishen Jin, A rigidity theorem for the deformed Hermitian-Yang-Mills equation, Calc. Var. Partial Differential Equations 60 (2021), no. 1, Paper No. 13, 16. MR 4201636 , DOI 10.1007/s00526-020-01880-9
Mar 12, 2010 · In this article, we prove some nonexistence results for the translating solitons to the symplectic mean curvature flows or to the almost calibrated Lagrang.
