Surjectivity cannot replace nonzero degree in Llarull's theorem for n≥3 but can for n=2; the Ricci-curvature version holds in all dimensions.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DG 2verdicts
UNVERDICTED 2representative citing papers
A Llarull-type rigidity result for scalar curvature holds on odd-dimensional Riemannian spin manifolds with cone-like singularities via twisted Dirac operators and spectral flow.
citing papers explorer
-
The degree condition in Llarull's theorem on scalar curvature rigidity
Surjectivity cannot replace nonzero degree in Llarull's theorem for n≥3 but can for n=2; the Ricci-curvature version holds in all dimensions.
-
Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions
A Llarull-type rigidity result for scalar curvature holds on odd-dimensional Riemannian spin manifolds with cone-like singularities via twisted Dirac operators and spectral flow.