Study on Twisted Product Almost Gradient Yamabe Solitons

Abstract

In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

“…A Riemannian metric g on a Riemannian manifold M is called a Yamabe soliton [7][8][9][10] if there exist a smooth vector eld X and a constant ρ such that…”

“…In ( 4), if ρ is a function on M, then M is called an almost gradient Yamabe soliton with (h, ρ) [7,8,10]. When the function h is constant, we say that the corresponding Yamabe soliton is a trivial Yamabe soliton.…”