D. Cheng

collaborators

3 papers

math.DG2026

Existence of classical minimal surfaces in $4$ and $5$ -manifolds

Da Rong Cheng, Xin Zhou

We prove that every closed Riemannian $4$ or $5$ -manifold $M$ contains a branched immersed closed minimal surface. That is, there exists a non-constant weakly conformal harmonic ma…

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 $F : (I^£, g) \to R^{4}$ is a stable minimal immersion of an oriented $2$ -dimensional complete Riemannian manifold (that is…

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 $I^» > 0$ , for any parameter $ε > 0$ we study critical points of the Yang--Mills--Higgs energy \[ \mathcal{Y}_{\varepsilon}(\nabla,Î¦) = \int_M \varepsilon^2…

Existence of classical minimal surfaces in 4 and 5-manifolds

Holomorphicity of parabolic stable minimal surfaces of high codimension

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

Existence of classical minimal surfaces in $4$ and $5$ -manifolds

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