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arXiv · 1802.04992

The Soul Conjecture in Alexandrov Geometry in dimension 4

Xiaochun Rong·Yusheng Wang
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Abstract

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.

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Xiaochun Rong, Yusheng Wang. 2018-02-14. The Soul Conjecture in Alexandrov Geometry in dimension 4. https://arxiv.org/abs/1802.04992

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