17 citations · 23 across the 4 of their papers we have counts for
3 papers · 1 filter
Einstein Metrics on Rational Homology 7-Spheres
Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2-connected rational homology 7-spheres. These appear to be the first non-regular examples of…
On Positive Sasakian Geometry
Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
A Sasakian structure on a manifold is called {\it positive} if its basic first Chern class can be represented by a positive (1,1)-form with respect to its transverse holomorphic CR…
Sasakian-Einstein Structures on $9#(S^2\times S^3)$
Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
We show that $\scriptstyle{#9(S^2\times S^3)}$ admits an 8-dimensional complex family of inequivalent non-regular Sasakian-Einstein structures. These are the first known Einstein m…