Adiabatic limits and spectral sequences for Riemannian foliations

DOI10.1007/PL00001653zbMath0965.57024arXivmath/9902147OpenAlexW2084664530WikidataQ115390619 ScholiaQ115390619MaRDI QIDQ1596298

Yurii A. Kordyukov, Jesús A. Álvarez López

Publication date: 26 July 2001

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9902147

zbMATH Keywords

spectral sequenceRiemannian foliationLaplacianadiabatic limit

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (15)

Petites valeurs propres des fibrés principaux en tores ⋮ Spectral sequences and taut Riemannian foliations ⋮ Asymptotics of the spectrum of the Laplace operator on Riemannian sol-manifolds in the adiabatic limit ⋮ Cohomology of manifolds with structure group \(U(n)\times O(s)\) ⋮ On the Dirac spectrum of Riemannian foliations admitting a basic parallel 1-form ⋮ \(L^{2}\)-invariants of Riemannian foliations ⋮ Riemannian flows and adiabatic limits ⋮ Gradients for \(SL(q)\)-foliations ⋮ The spectral sequence of the canonical foliation of a Vaisman manifold ⋮ The adiabatic limit of Schrödinger operators on fibre bundles ⋮ A vanishing result for the \(\mathrm{Spin}^{c}\) Dirac operator defined along the leaves of a foliation ⋮ Collapsing, spectrum, and Diophantine properties of Riemannian flows ⋮ Adiabatic limits, vanishing theorems and the noncommutative residue ⋮ Weitzenböck formulas for Riemannian foliations ⋮ The adiabatic limit of the connection Laplacian

This page was built for publication: Adiabatic limits and spectral sequences for Riemannian foliations