Sasakian 3-Metric as a $\ast$-Conformal Ricci Soliton Represents a Berger Sphere
Bull. Korean Math. Soc. Published online August 24, 2021
University of Calcutta
Abstract : A $\ast$-conformal Ricci soliton is a self similar solution of the $\ast$-conformal Ricci flow. In this paper, a Sasakian 3-metric satisfying the $\ast$-conformal Ricci soltion is completely classified under certain conditions on the soliton vector field. We establish a relation with Fano manifolds and proves a homothety between the Sasakian 3-metric and the Berger Sphere. Also, the potential vector field $V$ is a harmonic infinitesimal automorphism of the contact metric structure.