Sweeping Out 3-Manifold of Positive Ricci Curvature by Short 1-Cycles Via Estimates of Min–Max Surfaces

DOI10.1093/imrn/rnw264zbMath1405.53048arXiv1510.02896OpenAlexW2963261636MaRDI QIDQ4619327

Yevgeny Liokumovich, Xin Zhou

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02896

zbMATH Keywords

sweepoutdiameter upper boundmin-max minimal surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Uryson width of three dimensional mean convex domain with non-negative Ricci curvature ⋮ Sweepouts of closed Riemannian manifolds ⋮ Conformal upper bounds for the volume spectrum ⋮ The length of the shortest closed geodesic in a closed Riemannian 3-manifold with nonnegative Ricci curvature

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