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math.DG2025
Visualization of curvature on curve and surface by tangential angle parametrization
Yutaro Kabata, Shigeki Matsutani, Yuta Ogata
We propose a unified method to visualize curvature on planar curves and surfaces of revolution using the tangential angle parameter. For plane curves, placing markers at equal incr…
math.DG2025
Monodromy of Darboux transformations of polarised curves
Joseph Cho, Katrin Leschke, Yuta Ogata
We show that every finite type polarised curve in the conformal -sphere with a polynomial conserved quantity admits a resonance point, under a non-orthogonality assumption on th…