Geodesic
On irregular Sasaki-Einstein metrics in dimension~$5$
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1261-1278

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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. 
@article{SM_2021_212_9_a3,
     author = {H. S\"u{\ss}},
     title = {On irregular {Sasaki-Einstein} metrics in dimension~$5$},
     journal = {Sbornik. Mathematics},
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     volume = {212},
     number = {9},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2021_212_9_a3/}
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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/