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math.DG2008
CMC tori of revolution in : additional data on the spectra of their Jacobi operators
Wayne Rossman, Nahid Sultana
We prove a theorem about elliptic operators with symmetric potential functions, defined on a function space over a closed loop. The result is similar to a known result for a functi…
math.DG2006
Morse index of constant mean curvature tori of revolution in the 3-sphere
Wayne Rossman, Nahid Sultana
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…