Shape maps for second order partial differential equations

DOI10.1016/j.matpur.2016.07.010zbMath1375.58025arXiv1512.04990OpenAlexW2964117413MaRDI QIDQ522916

David J.Saunders, Olga Krupková, Geoff Prince

Publication date: 19 April 2017

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04990

zbMATH Keywords

curvaturesingularity formationconnectionRaychaudhuri's equationsecond order PDEs

Mathematics Subject Classification ID

Jets in global analysis (58A20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Systems of nonlinear higher-order PDEs (35G50) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Cites Work

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• A Relativist's Toolkit
• Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations
• The Large Scale Structure of Space-Time

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