LAUSR

Taking clue from the analytic vector fields on a complex manifold, $$\varphi \hbox {-analytic}$$φ-analytic conformal vector fields are defined on a Riemannian manifold (Deshmukh and Al-Solamy in Colloq. Math. 112(1):157–161, 2008). In this paper, we use $$\varphi \hbox {-analytic}$$φ-analytic conformal vector fields to find new characterizations of the n-sphere $$ S^{n}(c)$$Sn(c) and the Euclidean space $$(R^{n},\left\langle ,\right\rangle )$$(Rn,,).