3 papers
math.DG2004
Area density and regularity for soap film-like surfaces spanning graphs
Robert Gulliver, Sumio Yamada
For a given boundary set consisting of arcs and vertices, with two or more arcs meeting at each vertex, we treat the problem of estimating the area density of a soap film-like surf…
math.DG2001
On Harmonic Mappings into Weil-Peterssson Completed Teichmuller Spaces
Sumio Yamada
Harmonic mappings into Teichmuller spaces appear in the study of manifolds which are fibrations whose fibers are Riemann surfaces. In this article we will study the existence and u…
math.DG2001
Weil-Petersson Completion of Teichmueller Spaces and Mapping Class Group Actions
Sumio Yamada
Given a surface of higher genus, we will look at the Weil-Petersson completion of the Teichmuller space of the surface, and will study the isometric action of the mapping class gro…