Some results about the level sets of Lorentzian Busemann function and Bartnik's conjecture

DOI10.1007/s00220-008-0609-zzbMath1183.53067OpenAlexW2011413890WikidataQ122960707 ScholiaQ122960707MaRDI QIDQ731294

D. Kharzeev

Publication date: 2 October 2009

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

Full work available at URL: https://doi.org/10.1007/s00220-008-0609-z

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (4)

Bartnik’s splitting conjecture and Lorentzian Busemann function ⋮ New examples of static spacetimes admitting a unique standard decomposition ⋮ Achronal limits, Lorentzian spheres, and splitting ⋮ The Riemannian and Lorentzian Splitting Theorems

Cites Work

• A proof of the splitting conjecture of S.-T. Yau
• Splitting theorems for spatially closed space-times
• Some results on Cauchy surface criteria in Lorentzian geometry
• Remarks on cosmological spacetimes and constant mean curvature surfaces
• Lines in space-times
• Isolated maximal surfaces in spacetime
• On the determination of Cauchy surfaces from intrinsic properties
• Regularity of Lorentzian Busemann Functions
• The Large Scale Structure of Space-Time
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