On the topology of CR-warped product submanifolds

Articles > Article · 2017

Authors: Fulya ŞAHİN

International Journal of Geometric Methods in Modern Physics, Journal Indexed in SCI Expanded, International, WoS, 2017, vol 15, pp 1850032-1850032

DOI: 10.1142/s0219887818500329

Summary

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.

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