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arXiv · 1905.00412

Ricci-flat metrics on vector bundles over flag manifolds

Ismail Achmed-Zade·Dmitri Bykov
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Abstract

We construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group $SU(n)$, for all K\"ahler classes. These metrics are natural generalizations of the metrics of Candelas-de la Ossa on the conifold, Pando Zayas-Tseytlin on the canonical bundle over $\mathbb{CP}^1\times \mathbb{CP}^1$, as well as the metrics on canonical bundles over flag manifolds, recently constructed by van Coevering.

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Ismail Achmed-Zade, Dmitri Bykov. 2019-05-01. Ricci-flat metrics on vector bundles over flag manifolds. https://doi.org/10.1007/s00220-020-03759-4

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