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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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10.1007/bf03092640

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1432-1823

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Computations of the orbifold Yamabe invariant

Authors: Kazuo Akutagawa
Publish Date: 2011/05/10
Volume: 271, Issue: 3-4, Pages: 611-625
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Abstract

We consider the Yamabe invariant of a compact orbifold with finitely many singular points We prove a fundamental inequality for the estimate of the invariant from above which also includes a criterion for the nonpositivity of it Moreover we give a sufficient condition for the equality in the inequality In order to prove it we also solve the orbifold Yamabe problem under a certain condition We use these results to give some exact computations of the Yamabe invariant of compact orbifolds

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  31. On newforms for Kohnen plus spaces
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