منابع مشابه
Attaching handles to Bryant surfaces
Complete minimal surfaces and constant mean curvature surfaces in Euclidean or hyperbolic space have been the object of much attention in recent years and particular efforts have been devoted in understanding the moduli space of such surfaces. More precisely, the surfaces we are interested in are complete, noncompact surfaces which may or may not be embedded but enjoy the somehow weaker, and sl...
متن کاملThe First Bifurcation Point for Delaunay Nodoids
are constant mean curvature (CMC) surfaces of revolution, and they are translationally periodic. By a rigid motion and homothety of R we may place the Delaunay surfaces so that their axis of revolution is the x1-axis and their constant mean curvature is H = 1 (henceforth we assume this). We consider the profile curve in the half-plane {(x1, 0, x3) ∈ R |x3 > 0} that gets rotated about the x1-axi...
متن کاملBifurcating Nodoids
All complete, axially symmetric surfaces of constant mean curvature in R lie in the one-parameter family Dτ of Delaunay surfaces. The elements of this family which are embedded are called unduloids; all other elements, which correspond to parameter value τ ∈ R, are immersed and are called nodoids. The unduloids are stable in the sense that the only global constant mean curvature deformations of...
متن کاملAdding Handles to the Helicoid
There exist two new embedded minimal surfaces, asymptotic to the helicoid. One is periodic, with quotient (by orientation-preserving translations) of genus one. The other is nonperiodic of genus one. We have constructed two minimal surfaces of theoretical interest. The first is a complete, embedded, singly periodic minimal surface (SPEMS) that is asymptotic to the helicoid, has infinite genus, ...
متن کاملAttaching handlebodies to 3–manifolds
The main theorem of this paper is a generalisation of well known results about Dehn surgery to the case of attaching handlebodies to a simple 3–manifold. The existence of a finite set of ‘exceptional’ curves on the boundary of the 3–manifold is established. Provided none of these curves is attached to the boundary of a disc in a handlebody, the resulting manifold is shown to be word hyperbolic ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2013
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2013.266.129