Multiply Warped Product Generalized Semi-Invariant Submanifolds

Authors : Moctar TRAORE, Hakan Mete TAŞTAN, Sibel GERDAN AYDIN

Pages : 313-330

Doi:10.36890/iejg.845483

View : 12 | Download : 5

Publication Date : 2021-10-29

Article Type : Research Paper

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