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Invariant Kähler structures on the cotangent bundles of compact symmetric spaces

Invariant Kähler structures on the cotangent bundles of compact symmetric spaces

Abstract For rank-one symmetric spaces M of the compact type all Kähler structures F λ , defined on their punctured tangent bundles T 0 M and invariant with respect to the normalized geodesic flow on T 0 M , are constructed. It is shown that this class { F λ …