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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 is a stable minimal immersion of an oriented -dimensional complete Riemannian manifold (that is p…
math.DG2025
Yang-Mills-Higgs functional with Higgs self-interaction on -manifolds
Da Rong Cheng, Daniel Fadel, Luiz Lara
Given a constant , for any parameter we study critical points of the Yang--Mills--Higgs energy \[ \mathcal{Y}_{\varepsilon}(\nabla,Φ) = \int_M \left(\varepsilo…