Surfaces with harmonic inverse

mean curvature in space forms

Author:
Atsushi Fujioka

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

Published electronically:
April 23, 1999

MathSciNet review:
1600144

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Abstract | References | Similar Articles | Additional Information

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.

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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

DOI:
https://doi.org/10.1090/S0002-9939-99-04837-6

Keywords:
Constant mean curvature surfaces,
surfaces with prescribed mean curvature

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

Article copyright:
© Copyright 1999
American Mathematical Society