Some properties of horocycles on Damek-Ricci spaces

DOI10.1016/J.DIFGEO.2008.04.016zbMath1156.43004OpenAlexW2026807901WikidataQ115357513 ScholiaQ115357513MaRDI QIDQ2519054

Bianca Di Blasio, Francesca Astengo

Publication date: 22 January 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.04.016

zbMATH Keywords

Busemann functionPoisson kernelsolvable Lie groupHelgason-Fourier transformPaley-Wiener TheoremRiemann metrichorocyclic Radon transformHeisenberg type algebrageodesic inversion(non)radial analysishorocycles on Damek-Ricci spacessymmetric and nonsymmetric harmonic spaces

Mathematics Subject Classification ID

Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory (37-06) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Huygens' principle and a Paley-Wiener type theorem on Damek-Ricci spaces ⋮ The shifted wave equation on non-flat harmonic manifolds ⋮ Radon transform on a harmonic manifold ⋮ Horospheres and hyperbolicity of Hadamard manifolds

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• A Paley-Wiener theorem on NA harmonic spaces
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• Hardy's Uncertainty Principle on Certain Lie Groups
• Sur les espaces riemanniens complètement harmoniques

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