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- W4386637905 abstract "Abstract A Sasakian manifold is a Riemannian manifold whose metric cone admits a certain Kähler structure which behaves well under homotheties. We show that the product of two compact Sasakian manifolds admits a family of complex structures indexed by a complex nonreal parameter, none of whose members admits any compatible locally conformally Kähler metrics if both Sasakian manifolds are of dimension greater than 1. We compare this family with another family of complex structures which has been studied in the literature. We compute the Dolbeault cohomology groups of these products of compact Sasakian manifolds. 2020 Mathematics Subject Classification: 53C25, 53C55" @default.
- W4386637905 created "2023-09-13" @default.
- W4386637905 creator A5092852546 @default.
- W4386637905 date "2023-09-12" @default.
- W4386637905 modified "2023-10-18" @default.
- W4386637905 title "Complex structures on the product of two Sasakian manifolds" @default.
- W4386637905 doi "https://doi.org/10.21203/rs.3.rs-3326673/v1" @default.
- W4386637905 hasPublicationYear "2023" @default.
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