Ricci-flat Kähler metrics on tangent bundles of rank-one symmetric spaces of compact type

Abstract

We give an explicit description of all complete $G$-invariant Ricci-flat Kähler metrics on the tangent bundle $T(G/K)\cong G^{\mathbb{C}}/K^{\mathbb{C}}$ of rank-one Riemannian symmetric spaces $G/K$ of compact type, in terms of associated vector-functions.

arXiv admin note: substantial text overlap with arXiv:1903.00044