Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

DOI10.1090/S0002-9947-2010-04992-XzbMath1242.53087arXiv0802.4376OpenAlexW2044840396MaRDI QIDQ3053466

Luis J. Alías, Vicente Palmer, Ana Hurtado

Publication date: 29 October 2010

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

Full work available at URL: https://arxiv.org/abs/0802.4376

zbMATH Keywords

Brownian motionRicci curvaturesectional curvaturemean curvaturehyperbolicityspace-like hypersurfacespace-timeOmori-Yau maximum principleLorentzian distance functiontranscienceLorentzian index form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (4)

Higher order mean curvature estimates for bounded complete hypersurfaces ⋮ Comparison theorems in Lorentzian geometry and applications to spacelike hypersurfaces ⋮ Higher order mean curvature estimates for properly immersed \(\phi _{h}\)-bounded hypersurfaces ⋮ On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature

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