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Real hypersurfaces with constant totally real bisectional curvature in complex space forms. (English) Zbl 1164.53367
Summary: In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form \(M_m(c)\), \(c\not =0\) as those which have constant holomorphic sectional curvature or constant totally real sectional curvature.
MSC:
53C40 Global submanifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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