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arXiv · 2002.10603

Morse Index Bound for Minimal Two Spheres

Yuchin Sun
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Abstract

Given a closed manifold of dimension at least three, with non trivial homotopy group \pi_3(M) and a generic metric, we prove that there is a finite collection of harmonic spheres with Morse index bound one, with sum of their energies realizes a geometric invariant width.

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Yuchin Sun. 2020-02-25. Morse Index Bound for Minimal Two Spheres. https://arxiv.org/abs/2002.10603

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