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On the topology of CR-warped product submanifolds

Fulya Şahin

Department of Mathematics, Ege University, Izmir 35100, Turkey

https://doi.org/10.1142/S0219887818500329Cited by:17 (Source: Crossref)

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:

AMSC: 55N25, 53C65, 53C40, 53C15

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