Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces

DOI10.1007/s00220-009-0826-0zbMath1190.58022arXiv0807.2187OpenAlexW2040137336WikidataQ115388609 ScholiaQ115388609MaRDI QIDQ1048051

Niky Kamran, Alberto Enciso

Publication date: 11 January 2010

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

Full work available at URL: https://arxiv.org/abs/0807.2187

zbMATH Keywords

Green's functionspherical meansRiesz distributionsHodge Laplacian product manifolds

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35) Hyperbolic equations on manifolds (58J45)

Related Items (2)

Heun functions and some of their applications in physics ⋮ Spinor Green's functions via spherical means on products of space forms

Cites Work

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• The spinor heat kernel in maximally symmetric spaces
• Graviton and gauge boson propagators in \(\text{AdS}_{d+1}\)
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Gravitino propagator in anti-de Sitter space
• L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
• Green functions of the De Rham Laplacian in maximally symmetric spaces

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