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math.DG2026
Stability and Area-Minimizing Property of Higher-Dimensional Helicoids
Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1
For each integer , we study the -dimensional helicoid parametrized by \[ (u_1,\ldots,u_k,s) \longmapsto \bigl(u_1e^{is},\ldots,u_ke^{i…
math.DG2026
Calibrating Forms for Minimal Graphs in Arbitrary Codimension
Chung-Jun Tsai, Mu-Tao Wang
We introduce a new family of closed differential forms naturally associated with minimal graphical submanifolds in Euclidean space, defined in arbitrary codimension. For each minim…