Geodesic
About $c$-rigid quadrics
Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 224-229.

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In the article strongly nondegenerate $(k,n)$-quadrics all of whose linear automorphisms are of the form $z\to\mu z$, $w\to|\mu|^2w$, $\mu\in\mathbb C\setminus\{0\}$ are considered. Quadrics all of whose linear automorphisms are of this form were called $c$-rigid by V. Beloshapka. The main result of the article is the following: any $c$-rigid strongly nondegenerate $(k,n)$-quadric has no nonlinear automorphisms. A table indicating the relationship between linear and nonlinear automorphisms for $(k,n)$-quadrics is presented. 
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N. F. Palinchak. About $c$-rigid quadrics. Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 224-229. http://geodesic.mathdoc.fr/item/MZM_1996_59_2_a7/

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