Manifolds with small Dirac eigenvalues are nilmanifolds

DOI10.1007/s10455-006-9048-2zbMath1127.53041arXivmath/0403142OpenAlexW2002180464MaRDI QIDQ885817

Bernd Ammann, Chad Sprouse

Publication date: 14 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0403142

zbMATH Keywords

nilmanifoldseigenvalue pinchingalmost parallel spinors

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Manifolds with small Dirac eigenvalues are nilmanifolds ⋮ Eigenvalue pinching on \(\text{spin}^c\) manifolds

Cites Work

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