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math.DG2005
Flat fronts in hyperbolic 3-space and their caustics
Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara +1
After Galvez, Martinez and Milan discovered a (Weierstrass-type) holomorphic representation formula for flat surfaces in hyperbolic 3-space, the first, third and fourth authors her…
math.DG2005★ 2 cited
Surfaces and fronts with harmonic-mean curvature one in hyperbolic three-space
Masatoshi Kokubu
We investigate surfaces with constant harmonic-mean curvature one (HMC-1 surfaces) in hyperbolic three-space. We allow them to have certain kinds of singularities, and discuss some…