The positive mass theorem and distance estimates in the spin setting
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Publication:6571602
DOI10.1090/tran/8942zbMath1546.53045MaRDI QIDQ6571602
Simone Cecchini, Rudolf Zeidler
Publication date: 12 July 2024
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Spin and Spin({}^c) geometry (53C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
- Unnamed Item
- Metric inequalities with scalar curvature
- On Witten's proof of the positive energy theorem
- Conformally flat manifolds, Kleinian groups and scalar curvature
- Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
- On the proof of the positive mass conjecture in general relativity
- The positive mass theorem for black holes revisited
- A new proof of the positive energy theorem.
- The energy and the linear momentum of space-times in general relativity
- Band width estimates via the Dirac operator
- A long neck principle for Riemannian spin manifolds with positive scalar curvature
- Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity
- Coordinate Invariance and Energy Expressions in General Relativity
- The mass of an asymptotically flat manifold
- Boundary value problems for Dirac-type equations
- Geometric Relativity
- Boundary Value Problems for Elliptic Differential Operators of First Order
- A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)
- Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
- Scalar and mean curvature comparison via \(\mu\)-bubbles
- Scalar Curvature and Generalized Callias Operators
- Quantitative K-Theory, Positive Scalar Curvature, and Bandwidth
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