Journal
ADVANCES IN MATHEMATICS
Volume 404, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2022.108386
Keywords
Soul Conjecture; Alexandrov geometry; Sharafutdinov retraction; Submetry; Finite quotient of join
Categories
Funding
- BNSF [Z19003]
- Capital Normal University
- NSFC [11971057, 11821101]
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This paper proves the Soul Conjecture in Alexandrov geometry in dimension 4, which states that in a complete non-compact 4-dimensional Alexandrov space with non-negative and positive curvature, the soul of the space is a point.
In this paper, we prove the Soul Conjecture in Alexandrov geometry in dimension 4, i.e. if X is a complete non-compact 4-dimensional Alexandrov space of non-negative curvature and positive curvature around one point, then a soul of X is a point. (c) 2022 Elsevier Inc. All rights reserved.
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