An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
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Publication:5226750
DOI10.1017/9781108186612.003zbMath1416.83014arXiv1412.7559OpenAlexW1601969282MaRDI QIDQ5226750
Publication date: 1 August 2019
Full work available at URL: https://arxiv.org/abs/1412.7559
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15)
Related Items (35)
Carrollian manifolds and null infinity: a view from Cartan geometry ⋮ Distinguished Curves and First Integrals on Poincaré–Einstein and Other Conformally Singular Geometries ⋮ Curved non-relativistic spacetimes, Newtonian gravitation and massive matter ⋮ A classification of global conformal invariants ⋮ Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes ⋮ An ambient approach to conformal geodesics ⋮ Tractor geometry of asymptotically flat spacetimes ⋮ Non-lorentzian spacetimes ⋮ The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes ⋮ Klein and conformal superspaces, split algebras and spinor orbits ⋮ An embedding space approach to Carrollian CFT correlators for flat space holography ⋮ Carrollian and celestial spaces at infinity ⋮ Well-posedness of the ambient metric equations and stability of even dimensional asymptotically de Sitter spacetimes ⋮ Conformal fundamental forms and the asymptotically Poincare-Einstein condition ⋮ An ideal conformally covariant characterization of the Kerr conformal structure ⋮ Algebraic conditions for conformal superintegrability in arbitrary dimension ⋮ Geometry of solutions to the c-projective metrizability equation ⋮ Dynamical projective curvature in gravitation ⋮ CR Embedded Submanifolds of CR Manifolds ⋮ Asymptotic shear and the intrinsic conformal geometry of null-infinity ⋮ The geometry of almost Einstein \((2,3,5)\) distributions ⋮ Twistor geometry of null foliations in complex Euclidean space ⋮ The higher spin Laplace operator ⋮ Renormalized volume ⋮ Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method ⋮ Conformal boundary operators, \(T\)-curvatures, and conformal fractional Laplacians of odd order ⋮ Dilaton from tractor and matter field from twistor ⋮ Metrics in projective differential geometry: the geometry of solutions to the metrizability equation ⋮ Counterexamples to inverse problems for the wave equation ⋮ Type D conformal initial data ⋮ Unfolding conformal geometry ⋮ Note on the bundle geometry of field space, variational connections, the dressing field method, \& presymplectic structures of gauge theories over bounded regions ⋮ The Schwarzian derivative and Euler-Lagrange equations ⋮ Conformal invariance, complex structures and the Teukolsky connection ⋮ Tensors and spinors in de Sitter space
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