Eta-function on \(S^ 3\).

DOI10.3792/PJAA.57.233zbMath0498.58022OpenAlexW1993540245MaRDI QIDQ1171321

Kiyoshi Katase

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.233

zbMATH Keywords

Atiyah-Patodi-Singer index theoremspectral asymmetryeta functionelliptic self-adjoint operator on a compact Riemannian manifold without boundaryeta-invariant for the 3-sphere

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

\(p\)-forms on \(d\)-spherical tessellations

Cites Work

• Eta-function on \(S^{2n-1}\)
• On the spectra of Laplace operator on \(\Lambda^*(S^n)\)
• Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
• Closed geodesics and the \(\eta\)-invariant
• Spectral asymmetry and Riemannian geometry. II

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