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On the Structure of Busemann Spaces with Non-Negative Curvature I

Han, Bang-Xian et al.
arXiv (All) · Papers
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53c23metric-geometry
We extend the structure theory of Burago--Gromov--Perelman for Alexandrov spaces with curvature bounded below, to the setting of Busemann spaces with non-negative curvature. We prove that any finite-dimensional Busemann space with non-negative curvature, satisfying Ohta's $S$-concavity and local sem
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