Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces

DOI10.1007/BF01211062zbMath0602.58046WikidataQ125933982 ScholiaQ125933982MaRDI QIDQ1081944

Thea Pignataro

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

first eigenvalue of the Laplaciancomplete Riemann surfacefirst eigenfunction of the Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (4)

Zeta functions and periodic orbit theory: A review ⋮ Construction de laplaciens dont une partie finie du spectre est donnée ⋮ Une variante de l'inégalité de Cheeger pour les chaînes de Markov finies ⋮ A note on geometric upper bounds for the exponent of convergence of convex cocompact Kleinian groups

Cites Work

• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• The limit set of a Fuchsian group
• Transformation Groups and Natural Bundles
• Unnamed Item

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