Pseudo parallel CR-submanifolds in a non-flat complex space form

preprint2014arXivOpen access

Abstract

We classify pseudo parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one. With this result, the non-existence of recurrent as well as semi parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one can also be obtained.

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