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math.DG2014★ 1 cited
Generalized distance-squared mappings of the plane into the plane
S. Ichiki, T. Nishimura, R. Oset Sinha +1
We define generalized distance-squared mappings, and we concentrate on the plane to plane case. We classify generalized distance-squared mappings of the plane into the plane in a r…
math.MG2014
Aperture of plane curves
Daisuke Kagatsume, Takashi Nishimura
For any given immersion such that the set $\mathcal{NS}_{\bf r}=\mathbb{R}^2-\cup_{s\in S^1}\left({\bf r}(s)+d{\bf r}_{s}(T_s(S^1))\right)…