Multiply Warped Product Generalized Semi-Invariant Submanifolds

Year 2021, Volume: 14 Issue: 2, 313 - 330, 29.10.2021

Moctar Traore , Hakan Mete Taştan , Sibel Gerdan Aydın

https://doi.org/10.36890/iejg.845483

Cited By: 1

Abstract

We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for such a submanifold to be a multiply direct product submanifold. Moreover, we establish a general inequality for such submanifolds.

Keywords

Multiply warped product submanifolds, slant distribution, invariant distribution, anti-invariant distribution, generalized semi-invariant submanifold, locally product Riemannian manifold

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