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- W2963570160 abstract "In this paper known results of symmetric orthogonality, as introduced by G. Birkhoff, and non-expansive nearest point projections are extended from the linear to the metric setting. If the space has non-positive curvature in the sense Busemann then it is shown that those concepts are actually equivalent. In the end it is shown that every space having non-positive curvature in the sense of Busemann is a CAT(0)-space provided that its tangent cones are uniquely geodesic and their nearest point projections onto convex sets are non-expansive." @default.
- W2963570160 created "2019-07-30" @default.
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- W2963570160 date "2018-10-04" @default.
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- W2963570160 title "Symmetric orthogonality and non-expansive projections in metric spaces" @default.
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- W2963570160 doi "https://doi.org/10.1007/s00229-018-1071-7" @default.
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