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Sbornik: Mathematics, 2021, Volume 212, Issue 9, Pages 1261–1278
DOI: https://doi.org/10.1070/SM9487 (Mi sm9487) 		 
On irregular Sasaki-Einstein metrics in dimension $5$

H. Süß

Department of Mathematics, The University of Manchester, Manchester, UK
English version PDF (564 kB) Russian version article
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DOI: https://doi.org/10.1070/SM9487
Abstract: 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.
Received: 04.08.2020
Bibliographic databases:
Document Type: Article
UDC: 514.763+512.725+512.745
MSC: 53C25
Language: English
Original paper language: Russian
Citation: H. Süß, “On irregular Sasaki-Einstein metrics in dimension $5$”, Sb. Math., 212:9 (2021), 1261–1278
Citation in format AMSBIB
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\by H.~S\"u{\ss}
\paper On irregular Sasaki-Einstein metrics in dimension~$5$
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\yr 2021
\vol 212
\issue 9
\pages 1261--1278
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