7 papers
Normalized solutions for a class of fractional Choquard equations with mixed nonlinearities
Shaoxiong Chen, Zhipeng Yang, Xi Zhang
In this paper we study the following fractional Choquard equation with mixed nonlinearities: \[ \left\{ \begin{array}{l} (-Δ)^s u = λu + α\left( I_μ* |u|^q \right) |u|^{q-2} u + \l…
Homogeneous hypersurfaces of the four-dimensional Thurston geometry
Marie D'haene, Guoxin Wei, Zeke Yao +1
In this paper, we classify hypersurfaces with constant principal curvatures in the four-dimensional Thurston geometry under certain geometric conditions. As an appl…
Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds
Jie Geng, Zhenghan Shen, Xi Zhang
In this paper, we investigate the projectively flat bundles over a class of non-compact Gauduchon manifolds. By combining heat flow techniques and continuity methods, we establish…
Liouville theorem for -harmonic heat flows
Han Luo, Weike Yu, Xi Zhang
In this paper, we investigate -harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectiona…
Regularizing property of the twisted conical Kähler-Ricci flow
Jiawei Liu, Shiyu Zhang, Xi Zhang
In this paper, we show the regularity and uniqueness of the twisted conical Kähler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regu…
Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle
Jiawei Liu, Xi Zhang
In this paper, we study the limit behavior of the conical Kähler-Ricci flow as its cone angle tends to zero. More precisely, we prove that as the cone angle tends to zero, the coni…
Rigidity of eigenvalues of shrinking Ricci solitons
Chang Li, Huaiyu Zhang, Xi Zhang
In this paper, we study the rigidity of eigenvalues of shring Ricci solitons. It is known that the drifted Laplacian on shrinking Ricci solitons has discrete spectrum, its eigenval…