The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds

Mustafa Gök and Erol Kılıç ()
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Mustafa Gök: Turkish Military Academy, National Defence University, 06420 Ankara, Turkey
Erol Kılıç: Department of Mathematics, İnönü University, 44280 Malatya, Turkey

Mathematics, 2024, vol. 12, issue 11, 1-9

Abstract: This paper aims to discuss the de Rham cohomology of hemi-slant submanifolds in locally product Riemannian manifolds. The integrability and geodesical invariance conditions of the distributions derived from the definition of a hemi-slant submanifold are given. The existence and non-triviality of de Rham cohomology classes of hemi-slant submanifolds are investigated. Finally, an example is presented.

Keywords: almost product structure; locally product Riemannian manifold; de Rham cohomology class; hemi-slant submanifold; Riemannian submanifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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