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Constant mean curvature surfaces in homogeneously regular 3-manifolds

  • Harold Rosenberg (a1)
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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.

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References
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[1]Fischer-Colbrie, D., ‘On Complete Minimal surfaces with finite morse index in three manifolds’, Invent. Math. 82 (1985), 121132.
[2]Galloway, G. and Rodriguez, L., ‘Intersection of minimal submanifolds’, Geom. Dedicata 39 (1991), 2942.
[3]Lopez, F. and Ros, A., ‘Complete minimal surfaces of index one and stable constant mean curvature surfaces’, Comment. Math. Helv. 64 (1989), 3453.
[4]Nelli, B. and Rosenberg, H., ‘Global properties of constant mean curvature surfaces in ℍ2 × ℝ’, Pacific. Journ. Math. (to appear).
[5]Ros, A. and Rosenberg, H., ‘Properly embedded surfaces with constant mean curvature’, (preprint).
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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