  We consider a massive fermion system having a curved domain-wall embedded in
a square lattice. In a similar way to the conventional flat domain-wall
fermion, chiral massless modes appear at the domain-wall but these modes feel
"gravity" through the induced spin connections. In this work, we embed $S^1$
and $S^2$ domain-walls into a Euclidean space and show how the gravity is
detected from the spectrum of the Dirac operator.
