List open problems RCD

Here you can find a list of open problems in the study of the geometry and topology of RCD-spaces discussed among the participants of the BIRS CMO Workshop Metric measure Spaces with Symmetry and Lower

Ricci Curvature Bounds

For more information visit the report.

Relaxed conjecture: The boundary of an Alexandrov space is an RCD-space with the appropriate curvature bound. This problem is also interesting for Ricci limit spaces, trying to use localization techniques. 

Even more relaxed conjecture: Any totally geodesic subspace of an RCD-space with the induced intrinsic metric and an “enlarged” measure is again an RCD-space with the same curvature bound.