Abstract
We consider compact n‐dimensional minimal foliate CR‐real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2‐dimensional sphere provided that the square of the length of the second fundamental form is less than or equal to n − 1.
Highlights
CR-submanifolds of a Kaehlerian manifold have been defined by A
In particular CR-submanifolds isometrically immersed in complex projective space have been considered by K
They studied CR-submanifolds isometrically immersed in complex projective space with geometric properties such as semi-flat normal connection or parallel mean curvature
Summary
CR-submanifolds of a Kaehlerian manifold have been defined by A. In particular CR-submanifolds isometrically immersed in complex projective space have been considered by K. They studied CR-submanifolds isometrically immersed in complex projective space with geometric properties such as semi-flat normal connection or parallel mean curvature. In this paper we consider minimal proper CR-hypersurfaces of a complex projective space, for such submanifolds we have obtained the following: THEOREM 1.
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