The RCD gluing conjecture along intrinsic boundaries
The RCD gluing conjecture along intrinsic boundaries
Let and be noncollapsed spaces with nonempty boundaries and , where the boundaries are understood in the sense of Gigli and Pasqualetto. Suppose there is an isometry
with respect to their induced intrinsic metrics. RCD gluing conjecture. The glued metric measure space satisfies . This conjecture seeks a generalization of Petrunin's gluing theorem to noncollapsed spaces; its resolution is not established by the supplied text.
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Sources & referencesView supporting material
Primary source
Christian Ketterer, “Glued spaces and lower curvature bounds”, arXiv:2408.13137 (2026).
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