Totally Umbilical Semi-Invariant Submanifolds in Locally Decomposable Metallic Riemannian Manifolds

GÖK, MUSTAFA; KILIÇ, EROL

doi:10.2298/fil2208675g

Totally Umbilical Semi-Invariant Submanifolds in Locally Decomposable Metallic Riemannian Manifolds

GÖK M., KILIÇ E.

Filomat, cilt.36, sa.8, ss.2675-2686, 2022 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 36 Sayı: 8
Basım Tarihi: 2022
Doi Numarası: 10.2298/fil2208675g
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.2675-2686
Anahtar Kelimeler: metallic structure, metallic Riemannian manifold, semi-invariant submanifold, totally umbilicality
Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

© 2022, University of Nis. All rights reserved.In this paper, we obtain some classification theorems for totally umbilical semi-invariant sub-manifolds in locally decomposable metallic Riemannian manifolds. We also prove that there exist no totally umbilical proper semi-invariant submanifolds in a posivitely or negatively curved locally decomposable metallic Riemannian manifold.