Publications (52)
Moebius structures, hyperbolic ends and -surfaces in hyperbolic space
Graham Smith
We present a basic introduction to the theories of Möbius structures and hyperbolic ends and we study their applications to the theory of -surfaces in -dimensional hyperboli…
Bifurcation of Solutions to the Allen-Cahn Equation
Graham Smith
We use Morse Homology to study bifurcation of the solution sets of the Allen-Cahn Equation.
On eternal mean curvature flows of tori in perturbations of the unit sphere
Claudia V. S. Magaño, Graham Smith
We construct eternal mean curvature flows of tori in perturbations of the standard unit sphere . This has applications to the study of the Morse homologies of area funct…
Clifford structures, bilegendrian surfaces, and extrinsic curvature
Graham Smith
We use Clifford algebras to construct a unified formalism for studying constant extrinsic curvature immersed surfaces in riemannian and semi-riemannian -manifolds in terms of im…
On the elliptic sinh-Gordon equation with Durham boundary conditions
Martin Kilian, Graham Smith
We adapt Sklyanin's -matrix formalism to the sinh-Gordon equation, and prove that all free boundary constant mean curvature (CMC) annuli in the unit ball in are o…
Earthquakes and graftings of hyperbolic surface laminations
Sébastien Alvarez, Graham Smith
We study compact hyperbolic surface laminations. These are a generalization of closed hyperbolic surfaces which appear to be more suited to the study of Teichmüller theory than ar…