The Soul Conjecture in Alexandrov Geometry in dimension 4
Metric Geometry
2018-02-15 v1
Abstract
In this paper, we prove the Soul Conjecture in Alexandrov geometry in dimension , i.e. if is a complete non-compact -dimensional Alexandrov space of non-negative curvature and positive curvature around one point, then a soul of is a point.
Cite
@article{arxiv.1802.04992,
title = {The Soul Conjecture in Alexandrov Geometry in dimension 4},
author = {Xiaochun Rong and Yusheng Wang},
journal= {arXiv preprint arXiv:1802.04992},
year = {2018}
}
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36 pages