On the hyperbolicity criterion for noncompact Riemannian manifolds of special type

DOI10.1007/BF02308689zbMath0871.53037OpenAlexW1987778035WikidataQ115392534 ScholiaQ115392534MaRDI QIDQ1358520

O. Diekmann

Publication date: 14 July 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02308689

zbMATH Keywords

Riemannian manifoldharmonic functionhyperbolic manifoldparabolic manifold

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Eigenfunctions of the Laplace operator and harmonic functions on model Riemannian manifolds ⋮ Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds ⋮ Solvability of boundary value problems for Poisson's equation in unbounded domains on noncompact Riemannian manifolds ⋮ Solvability of the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds ⋮ On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form

Cites Work

• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Nonlinear analysis in geometry
• Unnamed Item

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