Finite-dimensional Busemann spaces with non-negative curvature satisfying Ohta's S-concavity and local semi-convexity admit non-trivial integer-dimensional Hausdorff measure, satisfy the measure contraction property, are rectifiable, and have unique finite-dimensional Banach tangent cones at almost-
On the rectifiability of CD(K, N) and MCP(K, N) spaces with unique tangents
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Rigidity and structure theorems for Busemann spaces with MCP measures under geodesic completeness or non-collapse assumptions.
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On the Structure of Busemann Spaces with Non-Negative Curvature
Finite-dimensional Busemann spaces with non-negative curvature satisfying Ohta's S-concavity and local semi-convexity admit non-trivial integer-dimensional Hausdorff measure, satisfy the measure contraction property, are rectifiable, and have unique finite-dimensional Banach tangent cones at almost-
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Busemann and MCP
Rigidity and structure theorems for Busemann spaces with MCP measures under geodesic completeness or non-collapse assumptions.