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arXiv · 2609.06910

Minimal Two-Spheres and Manifolds with Positive Isotropic Curvature

Tsz-Kiu Aaron Chow·Yipeng Wang
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Abstract

We improve the Micallef--Moore index estimate for harmonic two-spheres in $n$-manifolds with positive isotropic curvature to the sharp bound $n-3$. Combining with recent work, this completes the diffeomorphism classification of closed manifolds with positive isotropic curvature in the remaining dimensions five and six.

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Tsz-Kiu Aaron Chow, Yipeng Wang. 2026-09-07. Minimal Two-Spheres and Manifolds with Positive Isotropic Curvature. https://arxiv.org/abs/2609.06910

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