Real hypersurfaces in the complex quadric with Reeb parallel shape operator
Young Jin Suh
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Source: Crossref
Published: Jun 1, 2014
DOI: 10.1142/s0129167x14500591
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First, we introduce the notion of shape operator of Codazzi type for real hypersurfaces in the complex quadric Q m = SO m+2 /SO m SO 2 . Next, we give a complete proof of non-existence of real hypersurfaces in Q m = SO m+2 /SO m SO 2 with shape operator of Codazzi type. Motivated by this result we have given a complete classification of real hypersurfaces in Q m = SO m+2 /SO m SO 2 with Reeb parallel shape operator.
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