\(\widehat A\)-genus and collapsing.

DOI10.1007/BF02921948zbMath1047.53024MaRDI QIDQ5950239

John Lott

Publication date: 2000

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

zbMATH Keywords

spin manifoldcollapsingalmost-nonnegatively-curved

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)

Related Items (8)

Compactness of Dirac-Einstein spin manifolds and horizontal deformations ⋮ Collapsing manifolds obtained by Kummer-type constructions ⋮ Almost nonnegative Ricci curvature and new vanishing theorems for genera ⋮ A spinorial quasilocal mass ⋮ Quantization for a nonlinear Dirac equation ⋮ Dirac-harmonic maps from degenerating spin surfaces. I: The Neveu-Schwarz case ⋮ Non-Negative Curvature, Elliptic Genus and Unbounded Pontryagin Numbers ⋮ Index theory for scalar curvature on manifolds with boundary

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• A convergence theorem for Riemannian manifolds and some applications
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• Positive scalar curvature and local actions of nonabelian Lie groups

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