A Gauss-Bonnet formula for metrics with varying signature

DOI10.4171/ZAA/1282zbMath1101.53033MaRDI QIDQ2494611

Michael Steller

Publication date: 14 July 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

complex exterior angleLevi-Civita dual connectionpseudo-geodesic

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Curvature measures of pseudo-Riemannian manifolds ⋮ The Gauss-Bonnet type theorem for future directed fronts in hyperbolic 3-space and de Sitter 3-space ⋮ Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics ⋮ Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds

Cites Work

• Gauss-Bonnet formula for general Lorentzian surfaces
• The Gauss-Bonnet theorem for 2-dimensional spacetimes
• Neutral geometry and the Gauss-Bonnet theorem for two-dimensional pseudo- Riemannian manifolds
• Some geometric properties of singular pseudo-Riemannian manifolds
• Trigonometry in Lorentzian Geometry
• Pseudo-Riemannian Metric Singularities and the Extendability of Parallel Transport
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