Nonexistence of NNSC fill-ins with large mean curvature

DOI10.1090/proc/15400zbMath1465.53050arXiv2009.04976OpenAlexW3107206334MaRDI QIDQ4985403

Pengzi Miao

Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04976

zbMATH Keywords

scalar curvaturemean curvaturefill-ins

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Flows related to mean curvature (53E10)

Related Items (5)

Total mean curvature of the boundary and nonnegative scalar curvature fill-ins ⋮ Noncompact fill-ins of Bartnik data ⋮ On the NNSC fill-ins and asymptotically flat extension ⋮ Nonexistence of the NNSC-cobordism of Bartnik data ⋮ Nonexistence of DEC spin fill-ins

Cites Work

• Unnamed Item
• Total mean curvature, scalar curvature, and a variational analog of Brown-York mass
• Quasi-spherical metrics and prescribed scalar curvature
• Isometric embeddings into the Minkowski space and new quasi-local mass
• On the volume functional of compact manifolds with boundary with constant scalar curvature
• On the structure of manifolds with positive scalar curvature
• Scalar curvature and conformal deformation of Riemannian structure
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• Scalar curvature and singular metrics
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• Fill-ins of nonnegative scalar curvature, static metrics, and quasi-local mass
• Positive scalar curvature with skeleton singularities
• Extensions and fill-ins with non-negative scalar curvature

This page was built for publication: Nonexistence of NNSC fill-ins with large mean curvature