Conformal Vector Fields and Ricci Solitons in Complex and Contact Geometries

This chapter gives a brief review of almost Hermitian and contact metric manifolds, and provides classifications when they admit conformal vector fields. After a brief introduction to K \(\ddot{\textrm{a}}\) hler–Ricci solitons, it investigates and provides classifications of Ricci solitons whose metrics are special contact metrics, namely Sasakian, K-contact and \((k,\mu \) )-contact metrics.