6 citations · 11 across the 12 of their papers we have counts for
13 papers
On the index of constant mean curvature 1 surfaces in hyperbolic space
Levi Lopes de Lima, Wayne Rossman
We show that the index of a constant mean curvature 1 surface in hyperbolic 3-space is completely determined by the compact Riemann surface and secondary Gauss map that represent i…
Limit Surfaces of Riemann Examples
David Hoffman, Wayne Rossman
The family of embedded, singly periodic minimal surfaces of Riemann have as limit-surfaces the helicoid, the catenoid, a single plane, or an infinite set of equally-spaced parallel…
Lower bounds for index of Wente tori
Levi Lopes de Lima, Vicente Francisco de Sousa Neto, Wayne Rossman
We show numerically that any of the constant mean curvature tori first found by Wente must have index at least eight.
Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds
Jun Masamune, Wayne Rossman
Motivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete m-dimensional manifold…
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…
Constant mean curvature surfaces with two ends in hyperbolic space
Wayne Rossman, Katsunori Sato
We investigate the close relationship between minimal surfaces in Euclidean 3-space and constant mean curvature 1 surfaces in hyperbolic 3-space. Just as in the case of minimal sur…