Geodesic
On irregular Sasaki-Einstein metrics in dimension $5$
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1261-1278 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that there are no irregular Sasaki-Einstein structures on rational homology 5-spheres. On the other hand, using $\mathrm{K}$-stability we prove the existence of continuous families of nontoric irregular Sasaki-Einstein structures on odd connected sums of $S^2 \times S^3$. Bibliography: 30 titles.
Keywords: Sasaki-Einstein manifold, cone singularity, normalised volume, $\mathrm{K}$-stability, $T$-variety. 
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H. Süß. On irregular Sasaki-Einstein metrics in dimension $5$. Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1261-1278. http://geodesic.mathdoc.fr/item/SM_2021_212_9_a3/

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