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arXiv · 2310.01788

$t$-Gauduchon Ricci-flat metrics on non-K\"{a}hler Calabi-Yau manifolds

Eder M. Correa
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Abstract

We construct new examples of $t$-Gauduchon Ricci-flat metrics, for all $t<1$, on compact non-K\"{a}hler Calabi-Yau manifolds defined by certain principal torus bundles over rational homogeneous varieties with Picard number $\varrho(X) > 1$. As an application, we provide a detailed description of new examples of Strominger-Bismut Ricci-flat Hermitian metrics, Lichnerowicz Ricci-flat Hermitian metrics, and balanced Hermitian metrics on principal $T^{2}$-bundles over the Fano threefold ${\mathbb{P}}(T_{{\mathbb{P}^{2}}})$.

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Eder M. Correa. 2023-10-03. $t$-Gauduchon Ricci-flat metrics on non-K\"{a}hler Calabi-Yau manifolds. https://arxiv.org/abs/2310.01788

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