The Calabi complex and Killing sheaf cohomology

DOI10.1016/j.geomphys.2016.06.009zbMath1364.53066arXiv1409.7212OpenAlexW2275491663MaRDI QIDQ508067

Igor Khavkine

Publication date: 9 February 2017

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

Full work available at URL: https://arxiv.org/abs/1409.7212

zbMATH Keywords

linearized gravityconstant curvaturesheaf cohomologydifferential complexpseudo-Riemannian geometry

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Approaches to linear local gauge-invariant observables in inflationary cosmologies ⋮ Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime ⋮ Green hyperbolic complexes on Lorentzian manifolds ⋮ Finite element systems for vector bundles: elasticity and curvature ⋮ Two-dimensional twistor manifolds and Teukolsky operators ⋮ Compatibility complexes of overdetermined PDEs of finite type, with applications to the Killing equation ⋮ Compatibility complex for black hole spacetimes ⋮ Cohomology with causally restricted supports ⋮ Poincaré path integrals for elasticity ⋮ IDEAL characterization of higher dimensional spherically symmetric black holes ⋮ Navier-Stokes equations on Riemannian manifolds ⋮ Compactly supported linearised observables in single-field inflation

Uses Software

• LiE

Cites Work

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