204 citations · 392 across the 66 of their papers we have counts for
3 papers · 1 filter
A new flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications
Wayne Rossman, Masaaki Umehara, Kotaro Yamada
Using the Bryant representation, we define a new flux on homology classes of CMC-1 surfaces in hyperbolic 3-space, satisfying a balancing formula which is useful to show nonexisten…
Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus
Wayne Rossman, Masaaki Umehara, Kotaro Yamada
In this work we give a method for constructing a one-parameter family of complete CMC-1 (i.e. constant mean curvature 1) surfaces in hyperbolic 3-space that correspond to a given c…
An inverse problem of the flux for minimal surfaces
Shin Kato, Masaaki Umehara, Kotaro Yamada
For a complete minimal surface in the Euclidean 3-space, the so-called flux vector corresponds to each end. The flux vectors are balanced, i.e., the sum of those over all ends are…