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

Document Type : Original Article


Department of Pure Mathematics, Faculty of Basic Sciences, Imam Khomeini International University, Qazvin, Iran


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 $Q^{m^{\ast}}, m\geq3,$ admitting the gradient almost Ricci soliton. Moreover, the gradient almost Ricci soliton function f is trivial. 


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