Diameter Estimates for Complete (τ,ρ)-quasi Ricci Harmonic Solitons

Authors

  • Yasemin Soylu Giresun University, Turkey
  • Davut Karaköse Giresun University, Turkey

DOI:

https://doi.org/10.7546/CRABS.2025.07.02

Keywords:

Bochner formula, diameter estimate, fundamental group, Ricci harmonic soliton

Abstract

In this paper, we prove that a complete and connected $$(\tau,\rho)$$-quasi Ricci harmonic soliton under certain conditions becomes compact and includes a diameter estimate. This result generalizes the theorem of Galloway. Also, we obtained that the $$(\tau,\rho)$$-quasi Ricci harmonic soliton has a finite fundamental group.

Author Biographies

Yasemin Soylu, Giresun University, Turkey

Mailing Address:
Giresun University
Department of Mathematics
28100, Giresun, Turkey

E-mail: yasemin.soylu@giresun.edu.tr

Davut Karaköse, Giresun University, Turkey

Mailing Address:
Giresun University
Department of Mathematics
28100, Giresun, Turkey

E-mail: o232110005@giresun.edu.tr

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Published

17-07-2025

How to Cite

[1]
Y. Soylu and D. Karaköse, “Diameter Estimates for Complete (τ,ρ)-quasi Ricci Harmonic Solitons”, C. R. Acad. Bulg. Sci., vol. 78, no. 7, pp. 966–974, Jul. 2025.

Issue

Vol. 78 No. 7 (2025)

Section

Mathematics

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