Mapping properties of the Laplacian in Sobolev spaces of forms on complete hyperbolic manifolds

DOI10.1023/B:AGAG.0000018554.31037.23zbMath1059.58016OpenAlexW2073520004MaRDI QIDQ1876570

Joaquim Bruna, Joan Girbau

Publication date: 20 August 2004

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:agag.0000018554.31037.23

zbMATH Keywords

Sobolev spaceshyperbolic manifoldsrough LaplacianHodge-de Rham Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Invariance and symmetry properties for PDEs on manifolds (58J70) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Laplacian in the hyperbolic space Hn and linearization stability of the Einstein equation for Robertson-Walker models

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