Morse index of constant mean curvature tori of revolution in the 3-sphere
Rossman, Wayne ; Sultana, Nahid
Illinois J. Math., Tome 51 (2007) no. 3, p. 1329-1340 / Harvested from Project Euclid
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We 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.
Publié le : 2007-10-15
Classification:  53C42,  53A10 
@article{1258138547,
     author = {Rossman, Wayne and Sultana, Nahid},
     title = {Morse index of constant mean curvature tori of revolution in the 3-sphere},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 1329-1340},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138547}
}

Rossman, Wayne; Sultana, Nahid. Morse index of constant mean curvature tori of revolution in the 3-sphere. Illinois J. Math., Tome 51 (2007) no. 3, pp.  1329-1340. http://gdmltest.u-ga.fr/item/1258138547/