Demonstrates conditions for closed minimal surfaces in nonnegative scalar curvature spaces, suggesting new geometric insights.
Given a complete Riemannian metric of nonnegative scalar curvature on Σ × (-∞ , 0 ] Σ × ( - ∞ , 0 ] , where Σ Σ denotes a 2-sphere, we exhibit conditions that imply the existence of a closed minimal surface homologous to the boundary.
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Miao et al. (2026) studied this question.
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