Geodesic
Isometric immersions of space forms into Riemannian and pseudo-Riemannian spaces of constant curvature
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 56 (2001) no. 3, pp. 425-497

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This survey contains results on local and global isometric immersions of two-dimensional and multidimensional Riemannian and pseudo-Riemannian space forms into spaces of constant sectional curvature. 
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     author = {A. A. Borisenko},
     title = {Isometric immersions of space forms into {Riemannian} and {pseudo-Riemannian} spaces of constant curvature},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {425--497},
     publisher = {mathdoc},
     volume = {56},
     number = {3},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2001_56_3_a0/}
}
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A. A. Borisenko. Isometric immersions of space forms into Riemannian and pseudo-Riemannian spaces of constant curvature. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 56 (2001) no. 3, pp. 425-497. http://geodesic.mathdoc.fr/item/RM_2001_56_3_a0/