A para-Kaehler structure in the space of oriented geodesics in a real space form

Nikos Georgiou

In this article, we construct a new para-Kähler structure $(\mathcal{G},\mathcal{J},\Omega )$ in the space of oriented geodesics $\mathbb{L}(M)$ in a non-flat, real space form $M$. We…