Surfaces with harmonic inverse mean curvature in space forms

Fujioka, Atsushi

doi:10.1090/S0002-9939-99-04837-6

Surfaces with harmonic inverse mean curvature in space forms
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Proc. Amer. Math. Soc. 127 (1999), 3021-3025 Request permission

Abstract:

We define surfaces with harmonic inverse mean curvature in space forms and generalize a theorem due to Lawson by which surfaces of constant mean curvature in one space form isometrically correspond to those in another. We also obtain an immersion formula, which gives a deformation family for these surfaces.

References

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