4 citations · 6 across the 4 of their papers we have counts for
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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…
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…
On the Geometry of Sasakian-Einstein 5-Manifolds
Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
On simply connected five manifolds Sasakian-Einstein metrics coincide with Riemannian metrics admitting real Killing spinors which are of great interest as models of near horizon g…