Huygens' principle in Riemannian symmetric spaces

DOI10.1007/BF01446638zbMath0822.43002WikidataQ115393518 ScholiaQ115393518MaRDI QIDQ1891207

Henrik Schlichtkrull, Thomas P. Branson, Gestur Olafsson

Publication date: 19 September 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165300

zbMATH Keywords

wave equationexponential decay estimateRiemannian symmetric spacesmaximal compact subgroupsconnected reductive Lie groups

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Wave equation (35L05) Differential geometry of symmetric spaces (53C35) Hyperbolic equations on manifolds (58J45)

Related Items

The wave equation for Dunkl operators, The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case, Integrability and Huygens' principle on symmetric spaces, Huygens' principle and a Paley-Wiener type theorem on Damek-Ricci spaces, Support theorem for the fundamental solution to the Schrödinger equation on certain compact symmetric spaces, The shifted wave equation on non-flat harmonic manifolds, Schrödinger equation on non-compact symmetric spaces, A semilinear wave equation on hyperbolic spaces., Scattering on Riemannian Symmetric Spaces and Huygens Principle, The Shifted Wave Equation on Damek–Ricci Spaces and on Homogeneous Trees, The wave equation on homogeneous trees, Huygen principle and equipartition of energy for the modified wave equation associated to a generalized radial Laplacian

Cites Work

• Equipartition of energy for waves in symmetric space
• Wave propagation on Riemannian symmetric spaces
• Huygens' principle for wave equations on symmetric spaces
• A duality for symmetric spaces with applications to group representations
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