Minimal immersions, Einstein's equations and Mach's principle

DOI10.1016/0393-0440(87)90008-8zbMath0635.53031OpenAlexW2088806738MaRDI QIDQ1097530

Birger Nielsen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0393-0440(87)90008-8

zbMATH Keywords

Einstein equationsminimal submanifoldtotally geodesic submanifoldMach's principlesemi-Riemannian manifoldsinitial singularitystress energy tensor

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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Cites Work

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• The Gauss equations and rigidity of isometric embeddings
• The imbedding problem for Riemannian manifolds
• The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
• A Report on Harmonic Maps
• On the global isometric embedding of pseudo-Riemannian manifolds
• The Tension Field of the Gauss Map
• The Large Scale Structure of Space-Time