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arxiv: math/0206286 · v1 · submitted 2002-06-27 · 🧮 math.GT

Minimal spheres of arbitrarily high Morse index

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keywords arbitrarilyhighindexminimalmorseconstructembeddedgenus
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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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