GRADIENT SOLITONS ON DOUBLY WARPED PRODUCT MANIFOLDS

Blaga A. m., Tastan H. m.

REPORTS ON MATHEMATICAL PHYSICS, vol.89, no.3, pp.319-333, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.48550/arxiv.2106.12456
  • Journal Name: REPORTS ON MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.319-333
  • Keywords: doubly warped product manifold, Riemann soliton, Ricci soliton, Yamabe soliton, quasi-Einstein manifold
  • Istanbul University Affiliated: No

Abstract

Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons such as Riemann, Ricci, Yamabe and conformal, and examine the effect of a gradient soliton on a doubly warped product to its factor manifolds. Finally, we investigate the concircularly flat and conharmonically flat cases of doubly warped products.