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arXiv · 2601.22673

Wall singularity of spaces with an upper curvature bound

Koichi Nagano
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Abstract

We study typical wall singularity of codimension one for locally compact geodesically complete metric spaces with an upper curvature bound. We provide a geometric structure theorem of codimension one singularity, and a geometric characterization of codimension two regularity. These give us necessary and sufficient conditions for singular sets to be of codimension at least two.

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Koichi Nagano. 2026-01-30. Wall singularity of spaces with an upper curvature bound. https://arxiv.org/abs/2601.22673

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