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math.DG2000
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…
math.DG2000
3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients
Charles P. Boyer, Krzysztof Galicki, Paolo Piccinni
Using 3-Sasakian reduction techniques we obtain infinite families of new 3-Sasakian manifolds and in…
math.DG2000
New Einstein Metrics in Dimension Five
Charles P. Boyer, Krzysztof Galicki
The purpose of this note is to introduce a new method for proving the existence of Sasakian-Einstein metrics on certain simply connected odd dimensional manifolds. We then apply th…