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arxiv: 1402.4550 · v2 · pith:44KYM337new · submitted 2014-02-19 · 🧮 math.DG

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

classification 🧮 math.DG
keywords complexcr-submanifoldsformnon-flatparallelspacecr-dimensiongreater
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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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