New mass invariants for positive cosmological constant initial data characterize de Sitter spacetime and yield positive mass and Penrose inequalities.
Scalar curvature rigidity for locally conformally flat manifolds with boundary
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abstract
Inspired by the work of F. Hang and X. Wang and partial results by S. Raulot, we prove a scalar curvature rigitidy result for locally conformally flat manifolds with boundary in the spirit of the well-known Min-Oo conjecture.
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math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Mass-type invariants in the presence of a cosmological constant
New mass invariants for positive cosmological constant initial data characterize de Sitter spacetime and yield positive mass and Penrose inequalities.