Surfaces with harmonic inverse mean curvature in space forms

Authors
Fujioka, A
Citation
A. Fujioka, Surfaces with harmonic inverse mean curvature in space forms, P AM MATH S, 127(10), 1999, pp. 3021-3025
Citations number
6
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
10
Year of publication
1999
Pages
3021 - 3025
Database
ISI
SICI code
0002-9939(199910)127:10<3021:SWHIMC>2.0.ZU;2-W
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 curva ture in one space form isometrically correspond to those in another. We als o obtain an immersion formula, which gives a deformation family for these s urfaces.