Real orbits of complex spherical homogeneous spaces: the split case

Stéphanie Cupit-Foutou, Dmitry A. Timashev

We identify the $G(\mathbb{R})$-orbits of the real locus $X(\mathbb{R})$ of any spherical complex variety $X$ defined over $\mathbb{R}$ and homogeneous under a split connected reducti…