Spectral constant rigidity of warped product metrics
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Publication:6586634
DOI10.1112/jlms.12958MaRDI QIDQ6586634
Xueyuan Wan, Juncheol Pyo, Xiaoxiang Chai
Publication date: 13 August 2024
Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)
Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
- Metric inequalities with scalar curvature
- On the proof of the positive mass conjecture in general relativity
- On Nodal Sets for Dirac and Laplace Operators
- Sharp estimates and the Dirac operator
- Poincaré inequalities in punctured domains
- The scalar curvature on totally geodesic fiberings
- Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations
- Scalar curvature and harmonic maps to \(S^1\)
- Rigidity of 3D spherical caps via \(\mu \)-bubbles
- Scalar curvature rigidity of warped product metrics
- Spectral torical band inequalities and generalizations of the Schoen-Yau black hole existence theorem
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