2 papers
math.DG2026
Existence of constant mean curvature surfaces with controlled topology in 3-manifolds
Filippo Gaia, Xuanyu Li
We establish the existence of a non-trivial, branched immersion of a closed Riemann surface with constant mean curvature (CMC) into any closed, orientable 3-manifold $\mat…
math.AP2026
Existence of expanding harmonic map flows to hemispheres
Xuanyu Li
We show the existence of non-trivial self-expanding harmonic map flows starting from non-energy-minimizing 0-homogeneous maps to a regular ball or a closed hemisphere. In particula…