Published January 1, 2022 | Version v1
Journal article Open

GRADIENT SOLITONS ON DOUBLY WARPED PRODUCT MANIFOLDS

  • 1. West Univ Timisoara, Fac Math & Comp Sci, Dept Math, Bld V Parvan, Timisoara 300223, Romania
  • 2. Istanbul Univ, Fac Sci, Dept Math, Vezneciler, TR-34134 I?stanbul, Turkey

Description

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.

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