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math.DG2009
New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space
Shoichi Fujimori, Wayne Rossman, Masaaki Umehara +2
Until now, the only known maximal surfaces in Minkowski 3-space of finite topology with compact singular set and without branch points were either genus zero or genus one, or came…
math.DG2009
Ruled minimal surfaces in the three dimensional Heisenberg group
Young Wook Kim, Sung-Eun Koh, Hyung Yong Lee +2
It is shown that parts of planes, helicoids and hyperbolic paraboloids are the only minimal surfaces ruled by geodesics in the three dimensional Riemannian Heisenberg group. It is…