Noncommutative spectral geometry of Riemannian foliations: some results and open problems

2006/01/05 by Yuri A. Kordyukov, Yuri Kordyukov, Kordyukov, Yuri
Mathematics · #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Spectral Theory (math.SP) #math.DG #math.SP

paper · pdf · doi:10.48550/arxiv.math/0601093

35 pages, final version, minor changes, to appear in Proceedings of the Conference "Foliations-2005" (Lodz, Poland), World Scientific, Singapore, 2006

openalex publication_date 2006/01/05 · arxiv created 2006/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review some applications of noncommutative geometry to the study of transverse geometry of Riemannian foliations and discuss open problems.

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