Helmholtz operators on harmonic manifolds

DOI10.1007/BF02398435zbMath0818.58042MaRDI QIDQ1343833

Henrik Schlichtkrull, Rainer Schimming

Publication date: 24 August 1995

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Helmholtz operatorHadamard solutionharmonic manifolds

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

A survey on Huygens' principle, The Dirac operator on Lorentzian spin manifolds and the Huygens property, Normally hyperbolic operators, the Huygens property and conformal geometry, SOME -HARDY AND -RELLICH TYPE INEQUALITIES WITH REMAINDER TERMS, Radon transform on symmetric matrix domains

Cites Work

• Distributions spheriques sur les espaces hyperboliques
• The Lichnerowicz conjecture on harmonic manifolds
• Conformally invariant differential equations and projective geometry
• Differential operators on homogeneous spaces
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Laplace-Like Linear Differential Operators with a Logarithm-Free Elementary Solution
• A class of nonsymmetric harmonic Riemannian spaces
• Harmonic Differential Operators
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