Optimal Inequalities for Hemi-Slant Riemannian Submersions

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Akyol M. A., DEMİR R., Poyraz N. Ö., Vîlcu G.

Mathematics, cilt.10, sa.21, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 21
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/math10213993
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Chen–Ricci inequality, complex space form, hemi-slant submersion, Kähler manifold, Riemannian submersion
  • Uşak Üniversitesi Adresli: Hayır

Özet

In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case of the obtained inequalities and provide illustrative examples.