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math.DG2016
Minimal Darboux transformations
U. Hertrich-Jeromin, A. Honda
We derive a permutability theorem for the Christoffel, Goursat and Darboux transformations of isothermic surfaces. As a consequence we obtain a simple proof of a relation between D…
math.DG2016★ 3 cited
Isometric realization of cross caps as formal power series and its applications
Atsufumi Honda, Kosuke Naokawa, Masaaki Umehara +1
Two cross caps in Euclidean -space are said to be formally isometric if their Taylor expansions of the first fundamental forms coincide by taking a suitable local coordinate sys…