Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric

Zhichao Wang; Xin Zhou

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arXiv · 2607.08631

Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric

Zhichao Wang·Xin Zhou

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Abstract

We prove that $S^3$ endowed with an arbitrary Riemannian metric $g$ admits at least two embedded minimal spheres. The proof is based on an iterative scheme of relative min-max constructions.

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BibTeX RIS

Zhichao Wang, Xin Zhou. 2026-07-09. Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric. https://arxiv.org/abs/2607.08631

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