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Peer-reviewedCC BY 4.0Mathematics

Hyperbolic-Type Solitons on Ricci Pseudo-Symmetric Riemannian Concircular Structure Manifolds

  1. 1Department of Mathematics, Applied College, King Khalid University, Mohail Aseer, Saudi Arabia
  2. 2Department of Mathematics, College of Science, Jazan University, P.O. Box 277, Jazan 45142, Saudi Arabia

Abstract

The study of hyperbolic Ricci solitons and hyperbolic Yamabe solitons on Riemannian concircular structure manifolds is the main focus of the current research. We derive the expression of the Ricci curvature and scalar curvature of Riemannian concircular structure manifolds admitting hyperbolic Ricci solitons. Also, we show that the rate of change of hyperbolic Ricci solitons on Riemannian concircular structure manifolds is shrinking. Moreover, we discuss the nature of hyperbolic Ricci solitons and critical value and singular point on Ricci pseudo-symmetric Riemannian concircular structure manifolds, concircular pseudo-symmetric Riemannian concircular structure manifolds, projective pseudo-symmetric Riemannian concircular structure manifolds and conharmonic pseudo-symmetric Riemannian concircular structure manifolds. Lastly, depending solely on the rate of these solitons, we investigate certain applications in terms of modified second hyperbolic Yamabe solitons and modified second hyperbolic Ricci solitons.

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BibTeX
@article{alasmari2026hyperbolictype,
  title = {{Hyperbolic-Type Solitons on Ricci Pseudo-Symmetric Riemannian Concircular Structure Manifolds}},
  author = {Najwa Mohammed Al-Asmari and Rawan Bossly and Mohd Danish Siddiqi},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14213863},
  url = {https://www.mdpi.com/2227-7390/14/21/3863},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Hyperbolic-Type Solitons on Ricci Pseudo-Symmetric Riemannian Concircular Structure Manifolds
AU  - Najwa Mohammed Al-Asmari
AU  - Rawan Bossly
AU  - Mohd Danish Siddiqi
PY  - 2026
DA  - 2026/10/22
JO  - Mathematics
DO  - 10.3390/math14213863
UR  - https://www.mdpi.com/2227-7390/14/21/3863
AB  - The study of hyperbolic Ricci solitons and hyperbolic Yamabe solitons on Riemannian concircular structure manifolds is the main focus of the current research. We derive the expression of the Ricci curvature and scalar curvature of Riemannian concircular structure manifolds admitting hyperbolic Ricci solitons. Also, we show that the rate of change of hyperbolic Ricci solitons on Riemannian concircular structure manifolds is shrinking. Moreover, we discuss the nature of hyperbolic Ricci solitons and critical value and singular point on Ricci pseudo-symmetric Riemannian concircular structure manifolds, concircular pseudo-symmetric Riemannian concircular structure manifolds, projective pseudo-symmetric Riemannian concircular structure manifolds and conharmonic pseudo-symmetric Riemannian concircular structure manifolds. Lastly, depending solely on the rate of these solitons, we investigate certain applications in terms of modified second hyperbolic Yamabe solitons and modified second hyperbolic Ricci solitons.
SN  - 2227-7390
ER  -