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

DOI10.4310/jdg/1214436920zbMath0516.53048OpenAlexW1608555429WikidataQ115188059 ScholiaQ115188059MaRDI QIDQ1052659

Richard M. Schoen

Publication date: 1982

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214436920

zbMATH Keywords

spectrumsectional curvaturefirst eigenvalueLaplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items (13)

A lower bound for the first eigenvalue of a finite-volume negatively curved manifold ⋮ Small eigenvalues of closed Riemann surfaces for large genus ⋮ Small eigenvalues of random 3-manifolds ⋮ Small eigenvalues and thick-thin decomposition in negative curvature ⋮ A note on the first nonzero eigenvalue of the Laplacian acting on p- forms ⋮ Tubes and eigenvalues for negatively curved manifolds ⋮ On diagrammatic bounds of knot volumes and spectral invariants ⋮ Stability of quadratic curvature functionals at product of Einstein manifolds ⋮ Cheeger bounds on spin-two fields ⋮ Bootstrap bounds on closed hyperbolic manifolds ⋮ The \(p\)-spectrum of the Laplacian on compact hyperbolic three manifolds ⋮ A non-existence theorem for stable constant mean curvature hypersurfaces ⋮ A note on geometric upper bounds for the exponent of convergence of convex cocompact Kleinian groups

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