Impact of Gradient -Ricci–Yamabe Solitons on Warped Product Manifolds with Applications


KARACA F., YILDIZ A.

Gravitation and Cosmology, vol.32, no.3, pp.410-416, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2026
  • Doi Number: 10.1134/s0202289326700210
  • Journal Name: Gravitation and Cosmology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Natural Science Collection (ProQuest), Earth, Atmospheric, & Aquatic Science Collection (ProQuest), Technology Collection (ProQuest)
  • Page Numbers: pp.410-416
  • Yıldız Technical University Affiliated: Yes

Abstract

Abstract: The main topic of this paper is to characterize gradient -Ricci–Yamabe solitons on warped product manifolds. At first, we establish necessary and sufficient conditions under which a warped product manifold admits gradient -Ricci–Yamabe solitons. Next, we deduce the condition under which a warped product manifold is conformal to a sphere in Euclidean space. Finally, we obtain some results in GRW space-times.