Proves the sharp many-body Blaschke-Santaló inequality ∏ |K_i| ≤ |B^n|^k under the given inner product condition and characterizes equality cases, plus the functional version.
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The many-body Blaschke-Santal\'o type inequality via optimal transport
Proves the sharp many-body Blaschke-Santaló inequality ∏ |K_i| ≤ |B^n|^k under the given inner product condition and characterizes equality cases, plus the functional version.