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math.GT2026
Existence of Minimal Homotopies for Immersed Planar Curves
Lia Buchbinder, Yunjia Kou, Bala Krishnamoorthy +1
We study the existence of area-minimizing homotopies between homotopic curves in the plane. While the classical Plateau problem establishes the existence of least-area surfaces spa…
math.GT2026
Minimal Homotopies in Three Dimensions: A Cable System Approach
Lia Buchbinder, Bala Krishnamoorthy, Kevin R. Vixie
We study null homotopies of immersed spheres in and the volume they sweep during contraction. For a smooth immersion with finitely many transverse self-intersections…