Cohomology of semi-invariant submanifolds in metallic Riemannian manifolds

GÖK M.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.19, sa.09, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 09
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0219887822501390
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Metallic Riemannian manifold, de Rham cohomology group, semi-invariant submanifold, Riemannian submanifold, SHAPED HYPERSURFACES, CR-SUBMANIFOLDS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The main purpose of this paper is to investigate the cohomology of semi-invariant submanifolds in metallic Riemannian manifolds. We show that there exist well-defined canonical de Rham cohomology classes for such type of submanifolds under some necessary conditions. We also discuss the non-triviality of these cohomology classes. Finally, we provide two examples in order to support the results obtained from the paper.