The Dirac operator on nilmanifolds and collapsing circle bundles

DOI10.1023/A:1006553302362zbMath0911.58037arXivmath/9801091OpenAlexW2996403098MaRDI QIDQ1389887

Bernd Ammann, Christian Bär

Publication date: 22 April 1999

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801091

zbMATH Keywords

collapseDirac operatorLaplacianspin structuresnilmanifoldsisospectral deformationcircle bundlesHeisenberg manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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