2 papers
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…
math.DG2025
Bernstein Theorems for Calibrated Submanifolds in and
Chun-Kai Lien, Chung-Jun Tsai
This paper explores the Bernstein problem of smooth maps whose graphs form coassociative submanifolds in . We establish a condition,…