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A lower bound for the first eigenvalue of a finite-volume negatively curved manifold

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Publication:3991364
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DOI10.1007/BF02590021zbMath0744.53021MaRDI QIDQ3991364

Józef Dodziuk

Publication date: 28 June 1992

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)


zbMATH Keywords

lower boundfirst eigenvalueLaplacian


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)


Related Items (3)

Central limit theorem of Brownian motions in pinched negative curvature ⋮ Small eigenvalues and thick-thin decomposition in negative curvature ⋮ Tubes and eigenvalues for negatively curved manifolds




Cites Work

  • Unnamed Item
  • Pure point spectrum and negative curvature for noncompact manifolds
  • Smoothing Riemannian metrics
  • A lower bound for the first eigenvalue of a negatively curved manifold
  • Lower bounds for \(\lambda _ 1\) on a finite-volume hyperbolic manifold
  • Geometry of horospheres
  • Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
  • An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature




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