*Post by y***@fas.harvard.edu*Why is Sasaki-Einstein manifold named so?

Did Sasaki and Einstein come out with this idea?

I am just curious.

There's such a thing as a Sasakian manifold, and there's such a thing as

an Einstein manifold. A Sasaki-Einstein manifold is one that is both.

Sasaki is, in a sense, an odd dimensional version of a Kaehler manifold.

An Einstein manifold is a solution to the Einstein field equations with

a cosmological constant. In other words, the Ricci tensor is

proportional to the metric.

The string theory relevance here is that the base of a Ricci flat cone

is Einstein and the base of a Kaehler cone is Sasaki. Thus, the base of

a Calabi-Yau cone is Sasaki-Einstein.

Aaron