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arXiv · 2503.11582

Para-Kaehler immersions in para-Kaehler space forms

Gianni Manno·Filippo Salis
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Abstract

In this paper, we provide necessary and sufficient conditions for the existence of para-Kaehler immersions in para-Kaehler space forms. As a consequence, we prove that, in general, a local para-Kaehler immersion cannot be globally extended, even if it is defined on a simply connected para-Kaehler manifold. Finally, we classify para-Kaehler immersions between para-Kaehler space forms.

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BibTeXRIS

Gianni Manno, Filippo Salis. 2025-03-14. Para-Kaehler immersions in para-Kaehler space forms. https://doi.org/10.1007/s00025-025-02562-8

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