3 papers
math.AP2025
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} (-Î)^s u = λu + α\left( I_μ* |u|^q \right) |u|^{q-2} u…
math.DG2025
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…
math.DG2025
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…