Abstract
We investigate the classification problem of hypersurfaces with affine normal parallel second fundamental (cubic) form. A new method of approaching the solution to this problem is here presented; it consists in showing and using the equivalence of the mentioned problem with the classification of a certain class of solutions to the equation of Monge-Ampère type $\det(\pa_{ij}f)=\pm1$.
Citation
Salvador Gigena. "On affine hypersurfaces with parallel second fundamental form." Tohoku Math. J. (2) 54 (4) 495 - 512, 2002. https://doi.org/10.2748/tmj/1113247647
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