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12 May 2024
 
  » arxiv » math/0605127

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Morse index of constant mean curvature tori of revolution in the 3-sphere
Wayne Rossman ; Nahid Sultana ; PostScript ; PDF ; Other formats ;
Date 4 May 2006
Subject Differential Geometry
AbstractWe compute lower bounds for the Morse index and nullity of constant mean curvature tori of revolution in the three-dimensional unit sphere. In particular, all such tori have index at least five, with index growing at least linearly with respect to the number of the surfaces’ bulges, and the index of such tori can be arbitrarily large.
Source arXiv, math/0605127
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