Quasiharmonic Classification of Riemannian Manifolds

DOI10.2307/2038536zbMath0229.31006OpenAlexW4253141157MaRDI QIDQ5637198

Leo Sario, Mitsuru Nakai

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038536

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (13)

Quasiharmonic functions on the Poincaré 𝑁-ball ⋮ Negative quasiharmonic functions ⋮ Quasiharmonic classification of infinite networks ⋮ Quasiharmonic \(L^ p\) functions on the Poincaré N-ball ⋮ Biharmonic classification of Riemannian manifolds ⋮ Quasiharmonic degeneracy of Riemannian $N$-manifolds ⋮ Bounded biharmonic functions on the Poincaré $N$-ball ⋮ Completeness and existence of bounded biharmonic functions on a Riemannian manifold ⋮ Harmonic and quasiharmonic degeneracy of Riemannian manifolds ⋮ Behavior of biharmonic functions on Wiener's and Royden's compactifications ⋮ Dirichlet finite biharmonic functions with Dirichlet finite Laplacians ⋮ Unnamed Item ⋮ On the entropies of hypersurfaces with bounded mean curvature

Cites Work

• Behavior of biharmonic functions on Wiener's and Royden's compactifications
• Biharmonic classification of Riemannian manifolds
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• Unnamed Item

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