Abstract
The object of this paper is to study submanifolds of (k,¹)-paracontact
manifolds. We ¯nd the necessary and su±cient conditions for a submanifold of
(k,¹)-paracontact manifolds to be invariant and anti-invariant. Also, we research
the necessary and su±cient conditions for a submanifold of a (k,¹)-paracontact to be
semi-parallel and 2-semi-parallel submanifold and get interesting results.