Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems
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Publication:4957088
DOI10.1112/jlms.12434zbMath1482.53085arXiv1908.03832OpenAlexW3123254626WikidataQ125942890 ScholiaQ125942890MaRDI QIDQ4957088
Shin-Ichi Ohta, Ettore Minguzzi, Yu Feng Lu
Publication date: 3 September 2021
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.03832
singularityrelativity theoryweighted Ricci curvatureFinsler spacetimesweighted Lorentz-Finsler manifolds
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)
Related Items (11)
Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem ⋮ Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range ⋮ Volume comparison theorems in Finsler spacetimes ⋮ Spinors and mass on weighted manifolds ⋮ A variational setting for an indefinite Lagrangian with an affine Noether charge ⋮ A review of Lorentzian synthetic theory of timelike Ricci curvature bounds ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ Characterization of the null energy condition via displacement convexity of entropy ⋮ Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary ⋮ Quantitative estimate of diameter for weighted manifolds under integral curvature bounds and \(\varepsilon\)-range ⋮ A Lorentzian analog for Hausdorff dimension and measure
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