  In this paper, we show several rigidity results of harmonic tensors in terms
of Lichnerowicz Laplacians. These are obtained mainly from the method of
controlling the curvature term of Lichnerowicz Laplacians due to P. Petersen
and M. Wink in \cite{PW21}. Geometric applications on several classes of
Riemannian manifolds including Einstein manifolds and immersed submanifolds are
provided.
