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math.DG2012★ 2 cited
Darboux transforms of a harmonic inverse mean curvature surface
Katsuhiro Moriya
The notion of a generalized harmonic inverse mean curvature surface in the Euclidean four-space is introduced. A backward Bäcklund transform of a generalized harmonic inverse mean…
math.DG2012★ 2 cited
A factorization of a super-conformal map
Katsuhiro Moriya
A super-conformal map and a minimal surface are factored into a product of two maps by modeling the Euclidean four-space and the complex Euclidean plane on the set of all quaternio…