The Chen's first inequality for submanifolds of statistical warped product manifolds

Siddiqui A. N., MURATHAN C., Siddiqi M. D.

Journal of Geometry and Physics, cilt.169, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 169
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.geomphys.2021.104344
  • Dergi Adı: Journal of Geometry and Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Statistical submanifolds, Statistical warped product manifolds, Chen's first inequality, Statistical warped product immersions
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2021 Elsevier B.V.The study of warped products plays versatile roles in differential geometry as well as in mathematical physics, especially in general relativity (GR). In the present paper, we study statistical submanifolds in a statistical warped product with some related examples. For such submanifolds, we establish a Chen's first inequality and also discuss the equality case. Finally, we study the statistical warped product immersions and obtain some results.