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Geometric convexity
32F10
$q$-convexity, $q$-concavity
32F17
Other notions of convexity
32F18
Finite-type conditions
32F27
Topological consequences of geometric convexity
32F32
Analytical consequences of geometric convexity (vanishing theorems, etc.)
32F45
Invariant metrics and pseudodistances
32F99
None of the above, but in this section