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-
Parallel transportation for Alexandrov space with curvature bounded below
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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-