17 citations · 23 across the 4 of their papers we have counts for
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math.DG2002
New Einstein Metrics on 8#(S^2 times S^3)
Charles P. Boyer, Krzysztof Galicki
We show that #8(S^2 times S^3) admits two 8-dimensional complex families of inequivalent non-regular Sasakian-Einstein structures. These are the first known non-regular Sasakian-Ei…
math.DG2002
Rational Homology 5-Spheres with Positive Ricci Curvature
Charles P. Boyer, Krzysztof Galicki
We prove that for every integer k>1 there is a simply connected rational homology 5-sphere with spin such that $\scriptstyle{H_2(M^5_k,\bbz)}$ has order $\scr…
math.DG2002
Sasakian Geometry, Homotopy Spheres and Positive Ricci Curvature
Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
We discuss the Sasakian geometry of odd dimensional homotopy spheres. In particular, we give a completely new proof of the existence of metrics of positive Ricci curvature on exoti…