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Minimal spheres of arbitrarily high Morse index

Joel Hass·Paul Norbury·J. Hyam Rubinstein
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Abstract

We construct a smooth Riemannian metric on any 3-manifold with the property that there are genus zero embedded minimal surfaces of arbitrarily high Morse index.

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Joel Hass, Paul Norbury, J. Hyam Rubinstein. 2002-06-27. Minimal spheres of arbitrarily high Morse index. https://arxiv.org/abs/math/0206286

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