Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
EINSTEIN METRICS AND YAMABE INVARIANTS OF WEIGHTED PROJECTIVE SPACES
JEFF A. VIACLOVSKY
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Keywords: Weighted projective spaces, Einstein metrics, Kähler-Einstein metrics, orbifold Yamabe invariants
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2013 Volume 65 Issue 2 Pages 297-311

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Abstract
An orbifold version of the Hitchin-Thorpe inequality is used to prove that certain weighted projective spaces do not admit orbifold Einstein metrics. Also, several estimates for the orbifold Yamabe invariants of weighted projective spaces are proved.
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© 2013 THE TOHOKU UNIVERSITY
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