In this note we develop a half-space model for the pseudo-hyperbolic space, for any p, q with. This half-space model embeds isometrically onto the complement of a degenerate totally geodesic hyperplane in. We describe the geodesics, the totally geodesic submanifolds, the horospheres, the isometry group in the half-space model, and we explain how to interpret the boundary at infinity in this setting.
The Half-Space Model of Pseudo-hyperbolic Space
Seppi A.;
2022-01-01
Abstract
In this note we develop a half-space model for the pseudo-hyperbolic space, for any p, q with. This half-space model embeds isometrically onto the complement of a degenerate totally geodesic hyperplane in. We describe the geodesics, the totally geodesic submanifolds, the horospheres, the isometry group in the half-space model, and we explain how to interpret the boundary at infinity in this setting.
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