Abstract
We extend the theorem of B. Daniel about the existence and uniqueness of immersions into \({\mathbb{S}^{n}\,\times\,\mathbb{R}\, {\rm or}\, \mathbb{H}^{n}\,\times\,\mathbb{R}}\) to the Riemannian product of two space forms. More precisely, we prove the existence and uniqueness of an isometric immersion of a Riemannian manifold into the Riemannian product of two space forms.
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Kowalczyk, D. Isometric immersions into products of space forms. Geom Dedicata 151, 1–8 (2011). https://doi.org/10.1007/s10711-010-9515-6
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DOI: https://doi.org/10.1007/s10711-010-9515-6