Geometry of CR-slant Warped Products in Nearly Trans-Sasakian Manifolds

Authors

  • Lamia S. Alqahtani Department of Mathematics, Faculty of Science, King Abdulaziz University
  • Mića S. Stanković Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Serbia

DOI:

https://doi.org/10.7546/CRABS.2023.01.02

Keywords:

warped products, CR-warped product, CR-slant warped product, slant submanifolds, nearly Sasakian, nearly Kenmotsu, nearly trans-Sasakian manifolds

Abstract

A CR-slant warped product is considered a generalization of a CR-warped product. It was firstly introduced and studied in the field of Kaehler geometry. In this paper, we study CR-slant warped products in nearly trans-Sasakian manifolds. We obtain a general inequality related to the second fundamental form and the warping function in such warped products. The equality case is discussed.

Author Biographies

Lamia S. Alqahtani, Department of Mathematics, Faculty of Science, King Abdulaziz University

Mailing Address:
Department of Mathematics,
Faculty of Science,
King Abdulaziz University
21589 Jeddah, Saudi Arabia

E-mail: lalqahtani@kau.edu.sa

Mića S. Stanković, Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Serbia

Mailing Address:
Department of Mathematics,
Faculty of Sciences and Mathematics,
University of Nis, Serbia

E-mail: stmica@mts.rs

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Published

30-01-2023

How to Cite

[1]
L. Alqahtani and M. Stanković, “Geometry of CR-slant Warped Products in Nearly Trans-Sasakian Manifolds”, C. R. Acad. Bulg. Sci., vol. 76, no. 1, pp. 12–22, Jan. 2023.

Issue

Vol. 76 No. 1 (2023)

Section

Mathematics

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