6 citations · 22 across the 10 of their papers we have counts for
3 papers · 1 filter
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…
Period problems for mean curvature one surfaces in (with application to surfaces of low total curvature)
Wayne Rossman, Masaaki Umehara, Kotaro Yamada
We review recent results on classifying complete constant mean curvature 1 (CMC 1) surfaces in hyperbolic 3-space with low total curvature. There are two natural notions of "total…
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…