Quasi-spherical metrics and applications

DOI10.1007/s00220-004-1118-3zbMath1074.53033OpenAlexW1991110657MaRDI QIDQ1771552

Yuguang Shi, Luen-Fai Tam

Publication date: 18 April 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1118-3

zbMATH Keywords

curvaturespin manifoldquasi-spherical metric

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Total mean curvature of the boundary and nonnegative scalar curvature fill-ins

Cites Work

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• Quasi-spherical metrics and prescribed scalar curvature
• The Weyl problem with nonnegative Gauss curvature
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• Harmonic spinors
• Geometry of three manifolds and existence of black hole due to boundary effect
• Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\)
• Positivity of Quasilocal Mass
• The mass of an asymptotically flat manifold
• A priori bounds for co-dimension one isometric embeddings
• The gravitational Hamiltonian, action, entropy and surface terms
• On Hypersurfaces with no Negative Sectional Curvatures
• On Unsmooth Two-Dimensional Riemannian Metrics
• The Weyl and Minkowski problems in differential geometry in the large

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