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On the topology of CR-warped product submanifolds

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We obtain a necessary condition for homology group to be zero on CR-warped product submanifold in Euclidean spaces in terms of second fundamental form of the submanifold and warping function.… Click to show full abstract

We obtain a necessary condition for homology group to be zero on CR-warped product submanifold in Euclidean spaces in terms of second fundamental form of the submanifold and warping function. By using this condition, we show that such CR-warped product submanifold is a homotopy sphere.

Keywords: warped product; topology; topology warped; product submanifolds

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2017

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