Lemma 4.7 . [031C]

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Lemma 4.7.

As $t$ goes to zero we have

(4.20)

\lambda_{t}^{*}p^{*}T_{-\sigma}^{*}\tilde{\omega}_{t}\to p^{*}(\omega_{SF}+f^{*}\omega)

in $C^{\infty}_{loc}(B\times\mathbb{C}^{n-m},\delta)$ , where $\delta$ is the Euclidean metric.