Generalization of Kim's Estimates In Terms of the Trace of
Divergencefree Symmetric Tensor
In this paper, we generalized E.C. Kim’ s estimates by taking in to
account the trace of the divergencefree symmetric tensor non−zero. We
have also shown that E.C. Kim’s estimates still valid in case of the
trace of the divergencefree symmetric tensor vanished identically. In
the equality case, we characterized eta−Killing spinor with Killing pair
over the Sasakian spin manifolds.