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Alexandrov geometry studies non smooth analogues of Riemannian manifolds with curvature bounded from below or above. It includes spaces with curvature bounded below (briefly $\mathrm{CBB}[\kappa]$) and spaces with curvature bounded above (briefly $\mathrm{CAT}[\kappa]$).

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Alexandrov geometry techniques for Finsler manifolds.

Hi, first I would like to apologize for my English. It's not my native language and I feel my grasp of it is limited. I've been reading Burago's book on metric geometry and I've that it mentions Fi …
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