Stable minimal surfaces in M × ℝ
Meeks III, William H.
J. Differential Geom., Tome 66 (2004) no. 3, p. 515-534 / Harvested from Project Euclid
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In this paper, we classify the stable properly embedded orientable minimal surfaces in M × ℝ, where M is a closed orientable Riemannian surface. We show that such a surface is a product of a stable embedded geodesic on M with ℝ, a minimal graph over a region of M bounded by stable geodesics, M × {t} for some t ∈ ℝ, or is in a moduli space of periodic multigraphs parametrized by P × ℝ+, where P is the set of primitive (non-multiple) homology classes in H1(M).
Publié le : 2004-11-14
Classification:  
@article{1115669593,
     author = {Meeks III, William H.},
     title = {Stable minimal surfaces in M $\times$ $\mathbb{R}$},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 515-534},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1115669593}
}

Meeks III, William H. Stable minimal surfaces in M × ℝ. J. Differential Geom., Tome 66 (2004) no. 3, pp.  515-534. http://gdmltest.u-ga.fr/item/1115669593/