Surfaces with harmonic inverse mean curvature in space forms
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- by Atsushi Fujioka PDF
- 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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Additional Information
- Atsushi Fujioka
- Affiliation: Department of Mathematics, Faculty of Science, Kanazawa University, Kakuma-machi, Kanazawa, 920-1192 Japan
- Address at time of publication: Graduate School of Natural Science and Technology, Kanazawa University, Kakuma-machi, Kanazawa, 920-1192 Japan
- Email: fujioka@kappa.s.kanazawa-u.ac.jp
- Received by editor(s): March 20, 1997
- Received by editor(s) in revised form: December 4, 1997
- Published electronically: April 23, 1999
- Communicated by: Christopher Croke
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3021-3025
- MSC (1991): Primary 53A10; Secondary 53A05
- DOI: https://doi.org/10.1090/S0002-9939-99-04837-6
- MathSciNet review: 1600144