… Sasaki–Einstein metrics where the Killing vector has non-compact orbits, which are hence
irregular. These seem to be the first examples of such metrics… new Sasaki–Einstein metrics. In …

… In fact, we find that these metrics are diffeomorphic to those … smooth Sasaki–Einstein manifolds
all have topology S 2 × S 3 . … of the Calabi–Yau cones, supporting ( 2 , 1 ) three-form flux. …

… ifold (S, g) with cB 1 (S) > 0 and c1(D) = 0, one can get a Sasaki-Einstein metric by deforming
the Sasakian structure varying the Reeb vector field (cf. [7, Theorem 1.2]). Uniqueness of …

… As a consequence of the affirmative answer to this problem, there exists so-called Sasaki
η-Einstein and Lorentzian Sasaki-Einstein metrics on these five-manifolds for all k and …

… a Sasaki-Einstein metric exists. In the present paper we first prove the uniqueness of such
Einstein metrics on … toric Sasaki-Einstein metrics on S5♯k(S2 × S3) for each positive integer k. …

… over a product S2 × S2 base. We obtain seven-dimensional Einstein–Sasaki metrics, which
is … In section 3, we generalize the construction to higher dimensions by using a base space …

… -Einstein Sasakian and paraSasakian metrics depending on the … Moreover, these structures
will be Sasaki–Einstein and … T 1 S 3 ≃ S 2 × S 3 carries a Sasaki–Einstein metric and give (to …

… of a putative Sasaki–Einstein metric on the link of an isolated Gorenstein singularity X with
Reeb vector field ξ. These are based on Bishop’s theorem [15] and Lichnerowicz’s theorem […

… conic (degree 2) curve if and only if the angle is in (π/2, 2π]. When the angle is 2π/3 this
proves the existence of a Sasaki–Einstein metric on the link of a three dimensional A2 singularity…

… We also summarize recent results about the existence of toric Sasaki-Einstein metrics. …
Einstein metrics on Sasaki manifolds, called Sasaki-Einstein metrics. Sasaki-Einstein metrics are …