D. Cheng

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2025

Holomorphicity of parabolic stable minimal surfaces of high codimension

Da Rong Cheng, Spiro Karigiannis, Jesse Madnick

A classical theorem of Micallef says that if $F : (Σ, g) \to R^{4}$ is a stable minimal immersion of an oriented $2$ -dimensional complete Riemannian manifold (that is p…

math.DG2025

$S U (2)$ Yang-Mills-Higgs functional with Higgs self-interaction on $3$ -manifolds

Da Rong Cheng, Daniel Fadel, Luiz Lara

Fixing a constant $λ > 0$ , for any parameter $ε > 0$ we study critical points of the Yang--Mills--Higgs energy \[ \mathcal{Y}_{\varepsilon}(\nabla,Φ) = \int_M \varepsilon^2|F…

math.DG2020

Existence of constant mean curvature 2-spheres in Riemannian 3-spheres

Da Rong Cheng, Xin Zhou

We prove the existence of branched immersed constant mean curvature 2-spheres in an arbitrary Riemannian 3-sphere for almost every prescribed mean curvature, and moreover for all p…

Holomorphicity of parabolic stable minimal surfaces of high codimension

SU(2) Yang-Mills-Higgs functional with Higgs self-interaction on 3-manifolds

Existence of constant mean curvature 2-spheres in Riemannian 3-spheres

$S U (2)$ Yang-Mills-Higgs functional with Higgs self-interaction on $3$ -manifolds