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

Author

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  • Mustafa Gök

    (Turkish Military Academy, National Defence University, 06420 Ankara, Turkey
    These authors contributed equally to this work.)

  • Erol Kılıç

    (Department of Mathematics, İnönü University, 44280 Malatya, Turkey
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Mustafa Gök & Erol Kılıç, 2024. "The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds," Mathematics, MDPI, vol. 12(11), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1730-:d:1407309
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    References listed on IDEAS

    as
    1. Falleh R. Al-Solamy & Meraj Ali Khan & Siraj Uddin, 2011. "Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, September.
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