The scalar curvature flow in Lorentzian manifolds

DOI10.1515/ACV.2008.014zbMath1162.53050arXiv0708.2549WikidataQ125975307 ScholiaQ125975307MaRDI QIDQ3546164

Christian Enz

Publication date: 18 December 2008

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2549

zbMATH Keywords

prescribed scalar curvatureglobally hyperbolic Lorentzian manifolds.

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Entire downward solitons to the scalar curvature flow in Minkowski space ⋮ Inverse curvature flows in Riemannian warped products ⋮ Volume preserving curvature flows in Lorentzian manifolds ⋮ Locally constrained inverse curvature flows ⋮ Minkowski inequalities and constrained inverse curvature flows in warped spaces

Cites Work

• Partial hyperbolicity and robust transitivity
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

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