Geodesic
Cayley Hypersurfaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 241-244.

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We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, that generalize the Cayley surface. 
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M. G. Eastwood; V. Ezhov. Cayley Hypersurfaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 241-244. http://geodesic.mathdoc.fr/item/TM_2006_253_a17/

[1] Dillen F., Vrancken L., “Generalized Cayley surfaces”, Global differential geometry and global analysis, Proc. Conf. (Berlin, 1990), Lect. Notes Math., 1481, eds. D. Ferus, U. Pinkall, U. Simon, B. Wegner, Springer, Berlin, 1991, 36–47 | MR

[2] Dillen F., Vrancken L., “Hypersurfaces with parallel difference tensor”, Japan. J. Math., 24 (1998), 43–60 | MR | Zbl

[3] Nomizu K., Sasaki T., Affine differential geometry, Cambridge Univ. Press, Cambridge, 1994 | MR | Zbl

[4] LeichtweißK., “Über eine geometrische Deutung des Affinnormalenvektors einseitig gekrümmter Hyperflächen”, Arch. Math., 53 (1989), 613–621 | DOI | MR | Zbl

[5] Nomizu K., Pinkall U., “Cayley surfaces in affine differential geometry”, Tôhoku Math. J., 41 (1989), 589–596 | DOI | MR | Zbl

[6] Choi Y., Kim H., “A characterization of Cayley hypersurface and Eastwood and Ezhov conjecture”, Intern. J. Math., 16 (2005), 841–862 | DOI | MR | Zbl

[7] Eastwood M., Ezhov V., “Homogeneous hypersurfaces with isotropy in affine four-space”, Tr. MIAN, 235, 2001, 57–70 | MR | Zbl