Some scalar curvature warped product splitting theorems
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Publication:4959738
DOI10.1090/proc/14922zbMath1437.53025arXiv1907.09396OpenAlexW2986892212WikidataQ126823315 ScholiaQ126823315MaRDI QIDQ4959738
Hyun Chul Jang, Gregory J. Galloway
Publication date: 7 April 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.09396
Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (2)
Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ Initial data rigidity results
Cites Work
- Unnamed Item
- Rigidity of area-minimizing hyperbolic surfaces in three-manifolds
- Rigidity of area-minimizing two-spheres in three-manifolds
- On a differential equation characterizing a Riemannian structure of a manifold
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Rigidity of marginally trapped surfaces and the topology of black holes
- Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
- Curvature estimates for stable marginally trapped surfaces
- The area of horizons and the trapped region
- On the structure of manifolds with positive scalar curvature
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- Proof of the positive mass theorem. II
- A warped product splitting theorem
- On the proof of the positive mass conjecture in general relativity
- The mass of asymptotically hyperbolic manifolds.
- Rigidity of outermost MOTS: the initial data version
- Exotic hyperbolic gluings
- The mass of asymptotically hyperbolic Riemannian manifolds.
- Rigidity of area-minimizing free boundary surfaces in mean convex three-manifolds
- Rigidity and positivity of mass for asymptotically hyperbolic manifolds
- Effective versions of the positive mass theorem
- Jang's equation and its applications to marginally trapped surfaces
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity
- Splitting of 3-manifolds and rigidity of area-minimising surfaces
- A Splitting Theorem for Scalar Curvature
- Complete Riemannian Manifolds and Some Vector Fields
- Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature
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