A remark on classification of Riemannian manifolds with respect to Δ𝑢=𝑃𝑢

DOI10.1090/S0002-9904-1971-12725-8zbMath0212.45003OpenAlexW1968255442WikidataQ115290290 ScholiaQ115290290MaRDI QIDQ5614194

No author found.

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1971-12725-8

Mathematics Subject Classification ID

Potential theory on Riemannian manifolds and other spaces (31C12)

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A remark on classification of Riemann surfaces with respect to Δ𝑢=𝑃𝑢

Cites Work

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• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• Examples in the classification theory of Riemannian manifolds and the equation \(\Delta u=Pu\)
• The equation \(\Delta u=Pu\) on \(E^m\) with almost rotation free \(P\geq O\).
• The Space of Dirichlet-Finite Solutions of the Equation Δu = Pu on a Riemann Surface
• The space of bounded solutions of the equation $\Delta u = pu$ on a Riemann surface
• Dirichlet finite solutions of Δ𝑢=𝑃𝑢, and classification of Riemann surfaces
• Dirichlet finite solutions of $\Delta u=Pu$ on open Riemann surfaces
• Classification of Riemann surfaces