Spectral theory of the Atiyah-Patodi-Singer operator on compact flat manifolds

DOI10.1007/s12220-011-9227-7zbMath1271.58017OpenAlexW2038365563MaRDI QIDQ1930289

Ricardo A. Podestá, Roberto J. Miatello

Publication date: 10 January 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-011-9227-7

zbMATH Keywords

signature operatorisospectral Riemannian manifoldsflat Riemannian manifold\(\eta\)-invariant.\(\eta\)-seriesAPS-boundary operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eta-invariants, Chern-Simons invariants (58J28) Isospectrality (58J53)

Related Items (2)

The \(\eta\) invariant of the Atiyah-Patodi-Singer operator on compact flat manifolds ⋮ The eta function and eta invariant of \(\mathbb{Z}_{2^r}\)-manifolds

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