Ricci and Scalar Curvature Rigidity of the Hemisphere
Fengbo Hang, Xiaodong Wang
TL;DR
This paper addresses a correction to a previously claimed scalar curvature rigidity theorem for the hemisphere, acknowledging a proof mistake and retracting the original result.
Contribution
The paper retracts the earlier scalar curvature rigidity theorem for the hemisphere due to an identified proof error, clarifying the current state of the result.
Findings
The original proof of the scalar curvature rigidity theorem contains a mistake.
The theorem has been officially retracted.
No new results are presented in this paper.
Abstract
We retract the scalar curvature rigidity theorem as there is a mistake in the proof. We thank S. Montiel for pointing out the mistake.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Elasticity and Material Modeling