1995/06/13 by Yuri A. Kordyukov, Kordyukov, Yuri A.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Spectral Theory in Mathematical Physics #dg-ga #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9506005
LaTeX, 30 pages
arxiv created 1995/06/13 · openalex publication_date 1995/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study spectral asymptotics for the Laplace operator on differential forms on a Riemannian foliated manifold equipped with a bundle-like metric in the case when the metric is blown up in directions normal to the leaves of the foliation. The asymptotical formula for the eigenvalue distribution function is obtained. The relationships with the spectral theory of leafwise Laplacian and with the noncommutative spectral geometry of foliations are discussed.