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Ricci-flat metrics on the complexification of a compact rank one symmetric space. (English) Zbl 0811.53049
The author shows that the tangent bundle and cotangent bundle of a compact rank one symmetric space admits a complete Ricci-flat Kähler metric. These bundles have a natural complex structure, and the term Kähler refers to this structure.
Reviewer: W.Ballmann (Bonn)

53C35 Differential geometry of symmetric spaces
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