Archivio Istituzionale della RicercaIn this paper, we provide necessary and sufficient conditions for the existence of para-Kähler immersions in para-Kähler space forms. As a consequence, we prove that, in general, a local para-Kähler immersion cannot be globally extended, even if it is defined on a simply connected para-Kähler manifold. Finally, we classify para-Kähler immersions between para-Kähler space forms.
Para-Kähler immersions in para-Kähler space forms / Manno, Gianni; Salis, Filippo. - In: RESULTS IN MATHEMATICS. - ISSN 1422-6383. - 81:1(2026). [10.1007/s00025-025-02562-8]
Para-Kähler immersions in para-Kähler space forms
gianni manno;filippo salis
2026
Abstract
In this paper, we provide necessary and sufficient conditions for the existence of para-Kähler immersions in para-Kähler space forms. As a consequence, we prove that, in general, a local para-Kähler immersion cannot be globally extended, even if it is defined on a simply connected para-Kähler manifold. Finally, we classify para-Kähler immersions between para-Kähler space forms.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/3004767