Conformal Immersions of Prescribed Mean Curvature in R3

نویسنده

  • MICHAEL T. ANDERSON
چکیده

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

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تاریخ انتشار 2012