Almost Ricci soliton in $Q^{m^{\ast}}$

Abstract

In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient almost Ricci soliton. Moreover, the gradient almost Ricci soliton function $f$ is trivial.

Keywords

• riemannian geometry
• complex hyperbolic quadric
• almost ricci soliton