2007/03/27 by Yuri A. Kordyukov, Kordyukov, Yuri A., Andrey A. Yakovlev +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Spectral Theory (math.SP) #math.DG #math.SP
paper · pdf · doi:10.48550/arxiv.math/0703785
22 pages
arxiv created 2007/03/27 · openalex publication_date 2007/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown up in directions normal to the leaves (in the adiabatic limit).