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Constant mean curvature surfaces in homogeneously regular 3-manifolds

Published online by Cambridge University Press:  17 April 2009

Harold Rosenberg
Harold Rosenberg
Affiliation:
Department of Mathematics, Universite de Paris 7, 2 Place Jusieu, 75005 Paris, France
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We establish several theorems concerning properly embedded constant mean curvature surfaces (cmc-surfaces) in homogeneously regular 3-manifolds, when the mean curvature H is large.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 227 - 238
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Fischer-Colbrie, D., ‘On Complete Minimal surfaces with finite morse index in three manifolds’, Invent. Math. 82 (1985), 121–132.CrossRefGoogle Scholar
[2]Galloway, G. and Rodriguez, L., ‘Intersection of minimal submanifolds’, Geom. Dedicata 39 (1991), 29–42.CrossRefGoogle Scholar
[3]Lopez, F. and Ros, A., ‘Complete minimal surfaces of index one and stable constant mean curvature surfaces’, Comment. Math. Helv. 64 (1989), 34–53.CrossRefGoogle Scholar
[4]Nelli, B. and Rosenberg, H., ‘Global properties of constant mean curvature surfaces in ℍ2 × ℝ’, Pacific. Journ. Math. (to appear).Google Scholar
[5]Ros, A. and Rosenberg, H., ‘Properly embedded surfaces with constant mean curvature’, (preprint).Google Scholar