Para-Kaehler immersions in para-Kaehler space forms
Differential Geometry
2025-12-23 v1
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.
Cite
@article{arxiv.2503.11582,
title = {Para-Kaehler immersions in para-Kaehler space forms},
author = {Gianni Manno and Filippo Salis},
journal= {arXiv preprint arXiv:2503.11582},
year = {2025}
}