The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^2$-harmonic spinors

Details The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^2$-harmonic spinors The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^2$-harmonic spinors

2002-04-05

arxiv.org/abs/math/0204072v3

Mathematics

Differential Geometry

26 pages

Scientific paper

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 $L^2$-index theory. For an $n$-orbifold $M$ with singularities $\Sigma_{\Gamma} = \{(\check{p}_1, \Gamma_1), ..., (\check{p}_s, \Gamma_s)\}$ (where each group $\Gamma_j

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