Abstract
In this article we deal with gradient h-almost Yamabe solitons introduced by Zeng (J Math Study 54(4):371-386 2021). In this setting we prove that under some conditions in the potential function, Ricci curvature or parabolicity of M, then the scalar curvature is a constant. Also proved that under some integral conditions, a gradient h-Yamabe soliton most be scalar curvature vanished.