<em>h</em>-Almost Ricci solitons with concurrent potential fields

Abstract

In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given. Also, we obtain conditions on a submanifold of a Riemannian h-almost Ricci soliton to be an h-almost Ricci soliton. Finally, we classify h-almost Ricci soliton on Euclidean hypersurface with λ = h.

Keywords

• riemannian geometry
• concurrent vector fields
• <i>h</i>-almost ricci soliton