trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Giacomelli's cone of infinitely log-concave initial data

Two positive geometric solutions have infinitely log-concave initial data, but their midpoint has a negative first log-concavity determinant.

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THEOREM

The cone need not be convex

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Giacomelli's cone of infinitely log-concave initial dataGiacomelli's cone of infinitelylog-concave initial data
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/GiacomelliLogConcaveConeNonconvex
Repository path
D5/S0/Certificates/GiacomelliLogConcaveConeNonconvex.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.