We present a diamond shaped diagram for even Clifford manifolds similar to the quaternion-Kähler diamond studied by Ch. Boyer and K. Galicki. We define two spaces S and U which fiber over an even Clifford manifold which, together with the twistor space Z defined by G. Arizmendi and Ch. Hadfield, form a diamond shaped diagram of fibrations. Moreover, we prove that, under certain natural conditions, Z is Kahler–Einstein, S is Sasaki–Einstein and U is special-Kähler.
An even Clifford diamond / Arizmendi, G.; Herrera, R.; Piccinni, P.. - In: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. - ISSN 0232-704X. - 57:(2020), pp. 465-487. [10.1007/s10455-020-09709-6]
An even Clifford diamond
Piccinni P.Ultimo
Membro del Collaboration Group
2020
Abstract
We present a diamond shaped diagram for even Clifford manifolds similar to the quaternion-Kähler diamond studied by Ch. Boyer and K. Galicki. We define two spaces S and U which fiber over an even Clifford manifold which, together with the twistor space Z defined by G. Arizmendi and Ch. Hadfield, form a diamond shaped diagram of fibrations. Moreover, we prove that, under certain natural conditions, Z is Kahler–Einstein, S is Sasaki–Einstein and U is special-Kähler.| File | Dimensione | Formato | |
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