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, vol.169, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 169
  • Publication Date: 2021
  • Doi Number: 10.1016/j.geomphys.2021.104344
  • Journal Name: Journal of Geometry and Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Keywords: Statistical submanifolds, Statistical warped product manifolds, Chen's first inequality, Statistical warped product immersions
  • Bursa Uludag University Affiliated: Yes

Abstract

© 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.