The Adiabatic Limit of the Connection Laplacian

We study the behaviour of Laplace-type operators H on a complex vector bundle E → M in the adiabatic limit of the base space. This space is a fibre bundle M → B with compact fibres and the limit corresponds to blowing up directions perpendicular to the fibres by a factor ε - 1 ≫ 1 . Under a gap cond...

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Bibliographic Details
Published in:	The Journal of geometric analysis Vol. 29; no. 3; pp. 2644 - 2673
Main Authors:	Haag, Stefan, Lampart, Jonas
Format:	Journal Article
Language:	English
Published:	New York Springer US 15-07-2019 Springer Nature B.V Springer
Subjects:	Abstract Harmonic Analysis Adiabatic flow Boundary conditions Convex and Discrete Geometry Differential Geometry Dirichlet problem Dynamical Systems and Ergodic Theory Eigenvalues Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematical Physics Mathematics Mathematics and Statistics Operators Spectral Theory Bounded geometry Adiabatic limit Quantum waveguide Laplacian on vector bundles
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