A Bakry-Émery almost splitting result with applications to the topology of black holes
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Publication:2031140
DOI10.1007/s00220-021-04005-1zbMath1470.53061arXiv2006.11482OpenAlexW3036426351MaRDI QIDQ2031140
Eric Woolgar, Gregory J. Galloway, Marcus A. Khuri
Publication date: 8 June 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.11482
Black holes (83C57) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (3)
Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications ⋮ A synthetic null energy condition ⋮ The topology of general cosmological models*
Cites Work
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- Fundamental groups of spaces with Bakry-Emery Ricci tensor bounded below
- Comparison geometry for the Bakry-Emery Ricci tensor
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Short geodesics and gravitational instantons
- Rigidity of marginally trapped surfaces and the topology of black holes
- Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
- On the `Stationary implies axisymmetric' theorem for extremal black holes in higher dimensions
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- The dimension of a cut locus on a smooth Riemannian manifold
- New restrictions on the topology of extreme black holes
- Extremal black hole horizons
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- The structure of spaces with Bakry-Émery Ricci curvature bounded below
- New volume comparison results and applications to degeneration of Riemannian metrics
- A higher dimensional stationary rotating black hole must be axisymmetric
- The splitting theorem for manifolds of nonnegative Ricci curvature
- Sets of Finite Perimeter and Geometric Variational Problems
- Black hole uniqueness theorems in higher dimensional spacetimes
- On Complete Manifolds With Nonnegative Ricci Curvature
- On the Fundamental Groups of Manifolds with Almost-Nonnegative Ricci Curvature
- Symmetries of higher dimensional black holes
- Differential equations on riemannian manifolds and their geometric applications
- Topological censorship
- A note on the fundamental groups of manifolds with almost nonnegative curvature
- Nonexistence of extremal de Sitter black rings
- On the topology of stationary black holes
- Riemannian Geometry
- The Large Scale Structure of Space-Time
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- The AdS/CFT correspondence and topological censorship
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