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Abstract: Rizza-negativity of holomorphic vector bundle  is a sufficient condition for the negativity of . In the present paper, we shall discuss that as a special case, using the Rizza metric  which is derived from a Hermitian metric  also implies the negativity of . Further we showed that for the negative holomorphic vector bundle there is a pseudo-convex Finsler metric with negative curvature. Keywords: Hermitian metric, Rizza metric, Rizza-negativity.