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arXiv · 2409.09315

Existence of 5 minimal tori in 3-spheres of positive Ricci curvature

Adrian Chun-Pong Chu·Yangyang Li
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Abstract

In 1989, B. White conjectured that every Riemannian 3-sphere has at least 5 embedded minimal tori. We confirm this conjecture for 3-spheres of positive Ricci curvature. While our proof uses min-max theory, the underlying heuristics are largely inspired by mean curvature flow.

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Adrian Chun-Pong Chu, Yangyang Li. 2025-07-31. Existence of 5 minimal tori in 3-spheres of positive Ricci curvature. https://arxiv.org/abs/2409.09315

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