A general Raychaudhuri's equation for second-order differential equations

DOI10.1016/S0393-0440(99)00065-0zbMath0963.53021OpenAlexW2029035017WikidataQ115338749 ScholiaQ115338749MaRDI QIDQ1576280

N. Delaunay

Publication date: 5 July 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00065-0

zbMATH Keywords

geodesicssingularity analysisRaychaudhuri equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (5)

Tangent bundle geometry induced by second order partial differential equations ⋮ \(k\)-parameter geodesic variations ⋮ Shape maps for second order partial differential equations ⋮ Geometrization of the Leading Term in Acoustic Gaussian Beams ⋮ Jacobi fields and linear connections for arbitrary second-order ODEs.

Cites Work

• Unnamed Item
• The geodesic spray, the vertical projection, and Raychaudhuri's equation
• Derivations of forms along a map: The framework for time-dependent second-order equations
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Geometric Aspects of Reduction of Order
• Geometric characterization of separable second-order differential equations
• General Relativity

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