The spectrum of one parameter family of operators on the 2-forms on a compact Riemannian manifold

DOI10.1007/BF02843994zbMath0683.53042OpenAlexW1985123501WikidataQ115391494 ScholiaQ115391494MaRDI QIDQ1824875

A. Kobotis, Grigoris F. Tsagas

Publication date: 1989

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02843994

zbMATH Keywords

heat equationspectrumspheresprojective spacesLaplacianEuler-Poincaré characteristicBochner Laplacian

Mathematics Subject Classification ID

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

Cites Work

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• The spectrum of the Laplacian on forms over a Lie group
• The differential form spectrum of hyperbolic space
• The spectrum of the Laplace operator for a special Riemannian manifold
• Spectral geometry and the Kaehler condition for complex manifolds
• The spectrum of the Bochner-Laplace operator on the 1-forms on a compact Riemannian manifold
• On the heat equation and the index theorem
• Curvature and the eigenvalues of the Laplacian for elliptic complexes
• The Spectral Geometry of Symmetric Spaces
• The Geometry and the Laplace Operator on the Exterior 2-Forms on a Compact Riemannian Manifold

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