A Gluing Construction for Prescribed Mean Curvature
Differential Geometry
2009-02-23 v1 Analysis of PDEs
Abstract
The gluing technique is used to construct hypersurfaces in Euclidean space having approximately constant prescribed mean curvature. These surfaces are perturbations of unions of finitely many spheres of the same radius assembled end-to-end along a line segment. The condition on the existence of these hypersurfaces is the vanishing of the sum of certain integral moments of the spheres with respect the prescribed mean curvature function.
Keywords
Cite
@article{arxiv.0902.3499,
title = {A Gluing Construction for Prescribed Mean Curvature},
author = {Adrian Butscher},
journal= {arXiv preprint arXiv:0902.3499},
year = {2009}
}
Comments
10 pages