Work

Minimal Two-Spheres and Manifolds with Positive Isotropic Curvature

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.06910

Authors: Chow, Tsz-Kiu Aaron, Wang, Yipeng

Institutions: Hong Kong University of Science and Technology, Princeton University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212035593

Cites: 3

Cited by: 4

Related to: 10