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math.DG2008★ 6 cited
Complete bounded holomorphic curves immersed in C^2 with arbitrary genus
Francisco Martin, Masaaki Umehara, Kotaro Yamada
In the previous paper, the authors constructed a complete holomorphic immersion of the unit disk D into C^2 whose image is bounded. In this paper, we shall prove existence of compl…
math.DG2008★ 1 cited
Constructing mean curvature 1 surfaces in with irregular ends
Wayne Rossman, Masaaki Umehara, Kotaro Yamada
With the developments of the last decade on complete constant mean curvature 1 (CMC 1) surfaces in the hyperbolic 3-space , many examples of such surfaces are now known. Howev…