Abstract
Motivated by Brendle-Marques-Neves' counterexample to the Min-Oo's conjecture, we prove a volume constrained scalar curvature rigidity theorem which applies to the hemisphere.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-30 |
| Number of pages | 30 |
| Journal | Communications in Analysis and Geometry |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2012 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty
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Cite this
Miao, P., & Tam, L. F. (2012). Scalar curvature rigidity with a volume constraint. Communications in Analysis and Geometry, 20(1), 1-30. https://doi.org/10.4310/CAG.2012.v20.n1.a1