Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces |
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Authors: | Giovanni Calvaruso |
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Institution: | Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Prov. Lecce-Arnesano, 73100 Lecce, Italy |
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Abstract: | We obtain the full classification of invariant symplectic, (almost) complex and Kähler structures, together with their paracomplex analogues, on four-dimensional pseudo-Riemannian generalized symmetric spaces. We also apply these results to build some new examples of five-dimensional homogeneous K-contact, Sasakian, K-paracontact and para-Sasakian manifolds. |
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Keywords: | MSC: 53C15 53C50 53C55 53C20 |
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