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A differential geometric characterization of the Cayley hypersurface

A differential geometric characterization of the Cayley hypersurface

The so-called Cayley hypersurface, constructed by Eastwood and Ezhov, is a higher-dimensional extension of the classical Cayley surface. In this paper, we establish a differential geometric characterization of the Cayley hypersurface, which is an answer to Eastwood and Ezhov's question.