The scalar curvature and the spectrum of the Laplacian of spin manifolds

DOI10.1007/BF01449223zbMath0634.58036MaRDI QIDQ1096948

Kaoru Ono

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164408

zbMATH Keywords

Dirac operatorspin manifoldsspectrum of the LaplacianAtiyah's \(L^ 2\)-index theorem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (2)

Scalar-flat closed manifolds not admitting positive scalar curvature metrics ⋮ Non-negative scalar curvature

Cites Work

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• Spin and scalar curvature in the presence of a fundamental group. I
• The fundamental group and the spectrum of the Laplacian
• The fundamental equations of a submersion
• A note on curvature and fundamental group
• The index of elliptic operators. III
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• The splitting theorem for manifolds of nonnegative Ricci curvature
• A computation of the equivariant index of the Dirac operator

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