Bifoliated Homotopy Invariant and Metallic Submersions

Kacimi B., Özkan M., Hathout F.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.18, sa.4, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00009-021-01801-w
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Riemannian foliation, signature, metallic Riemannian manifold, Riemannian submersion, Primary 53C12, Secondary 53C15, MANIFOLDS, OPERATORS, MAPS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we prove that the signature of a compact oriented Riemannian manifold supporting two orthogonal Riemannian foliations is a bifoliated homotopy invariant. We apply this result on locally decomposable metallic Riemannian manifolds. We also introduce the notion of metallic submersions between two metallic Riemannian manifolds and we study some of its properties and give an example.