The Yamabe invariants of orbifolds and cylindrical manifolds, and L²-harmonic spinors

2002/04/05 by Kazuo Akutagawa, Akutagawa, Kazuo, Boris Botvinnik +1
Mathematics · Physics and Astronomy · #53C20 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Physics (math-ph) #math-ph #math.AT #math.DG #math.GT #math.MP #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0204072

26 pages

openalex publication_date 2002/04/05 · arxiv created 2003/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Yamabe invariants of cylindrical manifolds and compact orbifolds with a finite number of singularities, by means of conformal geometry and the Atiyah-Patodi-Singer L²-index theory. For an n-orbifold M with singularities Σ_Γ = \(\checkp₁, Γ₁), ..., (\checkp_s, Γ_s)\ (where each group Γ_j

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