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math.DG2025
Envelopes created by sphere families in Euclidean 3-space
Takashi Nishimura, Masatomo Takahashi, Yongqiao Wang
In this paper, on envelopes created by sphere families in Euclidean 3-space, all four basic problems (existence problem, representation problem, problem on the number of envelopes,…
math.AP2025
Inverse curvature flow of closed Legendre curves
Takashi Kagaya, Masatomo Takahashi
In this paper, we deal with an inverse curvature flow of -convex Legendre curves. Since the Legendre curve is a natural generalization of regular curve, the flow is a general…