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A gluing construction
for prescribed mean curvature
Adrian Butscher |
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Vol. 249 (2011), No. 2, 257–269
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Abstract |
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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 to the prescribed mean curvature function. |
Keywords
gluing constructions, prescribed mean curvature
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Mathematical Subject Classification 2000
Primary: 53A10, 58J05
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Milestones
Received: 28 May 2009
Revised: 7 September 2010
Accepted: 10 November 2010
Published: 1 February 2011
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Authors |
| Adrian Butscher | |
| Department of Mathematics Stanford University Stanford, CA 94305 United States |
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