RIEMANNIAN SUBMANIFOLDS WITH CONCIRCULAR CANONICAL FIELD

Let (M) over tilde be a Riemannian manifold equipped with a concircular vector field (X) over tilde and M a submanifold (with its induced metric) of (M) over tilde. Denote by X the restriction of (X) over tilde on M and by X-T the tangential component of X, called the canonical field of M. In this article we study submanifolds of (M) over tilde whose canonical field X-T is also concircular. Several characterizations and classification results in this respect are obtained.