Pseudo-Riemannian Metric Singularities and the Extendability of Parallel Transport

DOI10.2307/2046286zbMath0629.53021OpenAlexW4237644599MaRDI QIDQ3766439

Marek Kossowski

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046286

zbMATH Keywords

immersionpseudo-Riemannian metriccovariant derivativeparallel vector fieldmetric singularities

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (13)

The Intrinsic Conformal Structure and Gauss Map of a Light-Like Hypersurface in Minkowski Space ⋮ Some geometric properties of singular pseudo-Riemannian manifolds ⋮ Complex analysis, maximal immersions and metric singularities ⋮ PDE admitting Lagrangian solutions with nontrivial homotopy invariants (\(\pi\)-degree, polarization index, Maslov period) ⋮ On the conformal geometry of transverse Riemann-Lorentz manifolds ⋮ Isotropic tangency ⋮ Fully stratified compact hypersurfaces in Minkowski 4-space ⋮ Transverse Riemann-Lorentz type-changing metrics with tangent radical ⋮ A Gauss-Bonnet formula for metrics with varying signature ⋮ Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics ⋮ Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds ⋮ On the singularities of quadratic forms ⋮ Fredholm quadratic sections

Cites Work

• Fold Singularities in Pseudo Riemannian Geodesic Tubes
• Invariant manifolds
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