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arXiv · 1204.5225

Conformal immersions of prescribed mean curvature in R^3

Michael T Anderson
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Abstract

We prove the existence of (branched) conformal immersions F: S^2 -> R^3 with mean curvature H > 0 arbitrarily prescribed up to a 3-dimensional affine indeterminacy. A similar result is proved for the space forms S^3, H^3 and partial results for surfaces of higher genus.

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Michael T Anderson. 2012-04-23. Conformal immersions of prescribed mean curvature in R^3. https://arxiv.org/abs/1204.5225

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