On a Sequence of Slant Submanifolds in Almost Product Riemannian Setting

Authors : Adara M. Blaga

Pages : 594-597

Doi:10.36890/iejg.1321401

View : 56 | Download : 204

Publication Date : 2023-10-29

Article Type : Research Paper

Abstract :We prove that the property of being pointwise slant is transitive on a class of proper pointwise slant submanifolds of almost product Riemannian manifolds, and illustrate this fact with an example. For a given almost product Riemannian manifold $(M_1,g,\\varphi_1)$, we consider a sequence of pointwise slant submanifolds $(M_{i+1}\\hookrightarrow M_i)_{i\\in \\mathbb{N}^*}$, and we explicitly determine the relation between the slant functions. Moreover, we state this result in a more general case.
Keywords : Pointwise slant submanifold, almost product Riemannian manifold, anti invariant submanifold