The soul conjecture in Alexandrov geometry in dimension 4

DOI10.1016/j.aim.2022.108386zbMath1503.53076arXiv1802.04992OpenAlexW2786413725WikidataQ113880977 ScholiaQ113880977MaRDI QIDQ2671891

Yu-Sheng Wang, Xiaochun Rong

Publication date: 3 June 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04992

zbMATH Keywords

Alexandrov geometrysubmetrysoul conjecturefinite quotient of joinSharafutdinov retraction

Mathematics Subject Classification ID

Metric geometry (51F99) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• On complete open manifolds of positive curvature
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• A.D. Alexandrov spaces with curvature bounded below
• THE SMOOTHNESS OF RIEMANNIAN SUBMERSIONS WITH NON-NEGATIVE SECTIONAL CURVATURE
• New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
• A finite quotient of join in Alexandrov geometry
• Nonnegatively curved Alexandrov spaces with souls of codimension two

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