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We construct a family of Calabi-Yau metrics on $\C^3$ with propertiesanalogous to the Taub-NUT metric on $\C^2$, and construct a family ofCalabi-Yau 3-fold metric models on the positive and negative vertices of SYZfibrations with properties analogous to the Ooguri-Vafa metric.

SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics