Collapsed Ricci limit spaces are non-collapsed RCD spaces
Collapsed Ricci limit spaces are non-collapsed RCD spaces
Let be a collapsed Ricci limit space of Hausdorff dimension , with its limit measure satisfying
for some . Collapsed Ricci limit space conjecture. If holds for some , then is a non-collapsed space. This predicts that a collapsed Ricci limit space whose limit measure is proportional to Hausdorff measure has the synthetic Ricci-curvature structure of a non-collapsed RCD space; the source gives no resolution.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Shouhei Honda, “Collapsed Ricci limit spaces as non-collapsed RCD spaces”, arXiv:2002.08612 (2020).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.