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Index Growth of hypersurfaces with constant mean curvature
Bérard, Pierre ; De Lima, Levi Lopes ; Rossman, Wayne
HAL, hal-00012248 / Harvested from HAL
Text on HAL
In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in $\\R^{n}$ (Delaunay unduloids). When $n=3$, using the asymptotics result of Korevaar, Kusner and Solomon, we derive an explicit asymptotic index growth rate for finite topology cmc 1 surfaces with properly embedded ends. Similar results are obtained for hypersurfaces with cmc bigger than 1 in hyperbolic space.
Publié le : 2002-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00012248,
     author = {B\'erard, Pierre and De Lima, Levi Lopes and Rossman, Wayne},
     title = {Index Growth of hypersurfaces with constant mean curvature},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012248}
}

Bérard, Pierre; De Lima, Levi Lopes; Rossman, Wayne. Index Growth of hypersurfaces with constant mean curvature. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012248/