Geodesic
Classification of spherical tube hypersurfaces having one minus in the signature of the Levi form
Izvestiya. Mathematics , Tome 33 (1989) no. 3, pp. 441-472.

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The authors give a complete list of affine classes of tube hypersurfaces in $\mathbf C^n$ locally biholomorphically equivalent to a quadric with one minus in the signature of the Levi form. Bibliography: 4 titles. 
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A. V. Isaev; M. A. Mishchenko. Classification of spherical tube hypersurfaces having one minus in the signature of the Levi form. Izvestiya. Mathematics , Tome 33 (1989) no. 3, pp. 441-472. http://geodesic.mathdoc.fr/item/IM2_1989_33_3_a0/

[1] Chern S. S., Moser J. K., “Real Hypersurfaces in Complex Manifolds”, Acta Math., 133:3,4 (1974), 219–274 | DOI | MR

[2] Yang P. C., “Automorphism of Tube Domains”, Amer. J. Math., 104:5 (1982) | DOI | MR | Zbl

[3] Dadok J., Yang P., “Automorphisms of Tube Domains and Spherical Hypersurfaces”, Amer. J. Math., 106:5 (1984), 999–1013 | MR

[4] Springer T. A., Shteinberg R., “Klassy sopryazhennykh elementov”, Sem. po algebraicheskim gruppam, Mir, M., 1973 | MR | Zbl