Distributional geometry

DOI10.1063/1.524224zbMath0442.53064OpenAlexW4232640681MaRDI QIDQ3884801

Phillip E. Parker

Publication date: 1979

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524224

zbMATH Keywords

general relativitydistributional geometrygeometry with nonsmooth coefficients

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Applications of global differential geometry to the sciences (53C80) Global differential geometry (53C99)

Related Items

Generalized mechanical systems. A mathematical exposition of nonsmooth classical Lagrangian mechanics ⋮ Nonsmooth differential geometry and algebras of generalized functions ⋮ Remarks on the distributional Schwarzschild geometry ⋮ Curvature singularity of the distributional Bañados, Teitelboim, and Zanelli black hole geometry ⋮ Canonical groups and the quantization of general relativity ⋮ Definition and stability of Lorentzian manifolds with distributional curvature ⋮ Nonlinearity and self-interaction in physical field theories with singularities ⋮ DISTRIBUTIONAL SOURCES IN GENERAL RELATIVITY: TWO POINT-LIKE EXAMPLES REVISITED ⋮ Classical, linear, electromagnetic impedance theory with infinite integrable discontinuities ⋮ The wave equation on singular space-times ⋮ Distributional geometry in general relativity ⋮ Calculus of variations and optimal control for generalized functions ⋮ Generalized pseudo-Riemannian geometry

Cites Work

• Caustics and catastrophes
• Fourier integral operators. I
• Oscillatory integrals, lagrange immersions and unfolding of singularities