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Results tagged with alexandrov-geometry
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user 6094
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 $\mathrm{CAT}[\kappa]$).
7
votes
Minimizing geodesic on a convex surface
Just to help visualize the example, if
I have interpreted the description correctly,
this is one view, for $\alpha=\beta=1$, and $\epsilon=\frac{1}{16}$.
In this view, the $x$-axis is horizontal, …
- 151k
3
votes
Are shortest halving curves simple closed geodesics?
I just located this relevant reference:
Engelstein, Max, Anthony Marcuccio, Quinn Maurmann, and Taryn Pritchard. "Isoperimetric problems on the sphere and on surfaces with density."
New York J. …
- 151k