The de Rham Cohomology Group of a Hemi-Slant Submanifold in Metallic Riemannian Manifolds

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GÖK M.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.15, sa.2, ss.242-252, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.36890/iejg.1118628
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.242-252
  • Anahtar Kelimeler: De Rham cohomology group, metallic Riemannian manifold, hemi-slant submanifold, Riemannian submanifold, WARPED PRODUCT SUBMANIFOLDS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, we answer the question under what conditions a hemi-slant submanifold of locally decomposable metallic Riemannian manifolds admits a well defined canonical de Rham cohomology class. Firstly, we give the integrability and minimality conditions of the distributions arose from its definition. Later, we find some necessary conditions depending on the above-named concepts of the associated distributions for such a type of submanifold to define a de Rham cohomology class. Furthermore, we analyzed the non-triviality of this cohomology class. In the end, we construct two examples which enable better expressing the main results.