Article ID Journal Published Year Pages File Type
839759 Nonlinear Analysis: Theory, Methods & Applications 2015 16 Pages PDF
Abstract

We prove the existence of (branched) conformal immersions F:S2→R3F:S2→R3 with mean curvature H>0H>0 arbitrarily prescribed up to a 3-dimensional affine indeterminacy. A similar result is proved for the space forms S3S3, H3H3 and partial results for surfaces of higher genus.

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Physical Sciences and Engineering Engineering Engineering (General)
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Conformal immersions of prescribed mean curvature in R3R3
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