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Keywords:
intersection of submanifolds; CR submanifold of a Sasakian manifold; scalar Levi form
intersection of submanifolds; CR submanifold of a Sasakian manifold; scalar Levi form
Summary:
We prove a Frankel type theorem for $CR$ submanifolds of Sasakian manifolds, under suitable hypotheses on the index of the scalar Levi forms determined by normal directions. From this theorem we derive some topological information about $CR$ submanifolds of Sasakian space forms.
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