On irregular Sasaki-Einstein metrics in dimension

DOI10.1070/SM9487zbMATH Open1491.53062arXiv1806.00285OpenAlexW3118675661MaRDI QIDQ5037701

Author name not available (Why is that?)

Publication date: 4 March 2022

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Abstract: We show that there are no irregular Sasaki-Einstein structures on rational homology 5-spheres. On the other hand, using K-stability we prove the existence of continuous families of non-toric irregular Sasaki-Einstein structures on odd connected sums of $S^{2}imes{S}^3$.

Full work available at URL: https://arxiv.org/abs/1806.00285

zbMATH Keywords

cone singularitySasaki-Einstein manifoldK-stability\(T\)-varietynormalised volume

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Surgery and handlebodies (57R65)

Related Items (3)

Title not available (Why is that?) ⋮ Contact structures of Sasaki type and their associated moduli ⋮ Simply connected Sasaki-Einstein rational homology 5-spheres

This page was built for publication: On irregular Sasaki-Einstein metrics in dimension

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5037701)