Ricci Solitons on the Poincar\'e upper half plane

Abstract

In this paper, we characterize the Ricci soliton equations on the Poincar\'e upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of Poincar\'e and after we generalize those equations in Hn. We obtain some nice properties of the soliton about their geodesic flows.

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