  In this paper, we study deformations of coisotropic submanifolds in a locally
conformal symplectic manifold. Firstly, we derive the equation that governs
$C^\infty$ deformations of coisotropic submanifolds and define the
corresponding $C^\infty$-moduli space of coisotropic submanifolds modulo the
Hamiltonian isotopies. Secondly, we prove that the formal deformation problem
is governed by an $L_\infty$-structure which is a $\frak b$-deformation of
strong homotopy Lie algebroids introduced in Oh and Park (2005) in the
symplectic context. Then we study deformations of locally conformal symplectic
structures and their moduli space, and the corresponding bulk deformations of
coisotropic submanifolds. Finally we revisit Zambon's obstructed infinitesimal
deformation (Zambon, 2002) in this enlarged context and prove that it is still
obstructed.
