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Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms

Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms

In this paper we classify real hypersurfaces all of whose geodesics orthogonal to the characteristic vector field are plane curves in complex projective or complex hyperbolic spaces. Introduction.Recent program of our study on submanifolds is based on the extrinsic shape of geodesics on submanifolds.From this point of view, a totally …