New Einstein Metrics on 8#(S² times S³)

2002/08/26 by Charles P. Boyer, Krzysztof Galicki
Mathematics · #math.DG #msc:53C25 #msc:53C12 #msc:14E30

paper · pdf

published as Diff. Geom. and Its Applications 19 (2003), 245-251. · 7 pages

arxiv created 2002/08/26 · arxiv updated 2009/11/30

Abstract

We show that #8(S² times S³) admits two 8-dimensional complex families of inequivalent non-regular Sasakian-Einstein structures. These are the first known non-regular Sasakian-Einstein metrics on this 5-manifold.

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