Spectral rigidity of compact Kaehler and contact manifolds

DOI10.2748/tmj/1178228409zbMath0607.53039OpenAlexW2091222571MaRDI QIDQ1085459

Hillel Gauchman, Samuel I. Goldberg

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228409

zbMATH Keywords

Kähler manifoldKähler formSasakian manifoldscohomologically Einsteinian

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (3)

5-dimensional contact manifolds with second Betti number \(b_ 2=0\) ⋮ A characterization of Sasakian space forms by the spectrum ⋮ The spectral rigidity of complex projective spaces, revisited

Cites Work

• Generalized scalar curvatures of cohomological Einstein Kaehler manifolds
• Contact manifolds in Riemannian geometry
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Some remarks on space with a certain contact structure
• The Spectrum of the Laplacian of Kahler Manifolds
• The Spectrum of the Laplacian for 1-Forms
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